Ical
https://mathematics.huji.ac.il/calendar?type=month&month=term
en<a href="https://mathematics.huji.ac.il/event/logic-seminar-spencer-unger-0?delta=0" >Logic Seminar - Spencer Unger</a>
https://mathematics.huji.ac.il/event/logic-seminar-spencer-unger-0
<br /><b>Stationary reflection and the singular cardinals hypothesis.</b><br /><br />We examine reflection of stationary sets at successors of singular cardinals and its connection with cardinal arithmetic. For instance it has been open whether the failure of the singular cardinal hypothesis at a singular cardinal mu of uncountable cofinality implies the existence of a nonreflecting stationary subset of mu^+. In recent joint work with Omer Ben-Neria and Yair Hayut we have shown that the answer is no modulo the consistency of some large cardinals. In this talk, we survey some instances of methods used in the proof. In particular, we show how to construct Prikry sequences over iterated ultrapowers and exploit them for combinatorial proofs. Wed, 20 Mar 2019 09:00:00 +0000Anonymous80592 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/analysis-seminar-andrei-osipov-yale?delta=0" >Analysis Seminar: Andrei Osipov (Yale) "On the evaluation of sums of periodic Gaussians"</a>
https://mathematics.huji.ac.il/event/analysis-seminar-andrei-osipov-yale
Title:
On the evaluation of sums of periodic Gaussians
Abstract:
Discrete sums of the form
$\sum_{k=1}^N q_k \cdot \exp\left( -\frac{t – s_k}{2 \cdot \sigma^2} \right)$
where $\sigma>0$ and $q_1, \dots, q_N$ are real numbers and
$s_1, \dots, s_N$ and $t$ are vectors in $R^d$,
are frequently encountered in numerical computations across a variety of fields.
We describe an algorithm for the evaluation of such sums under periodic boundary conditions, provide a rigorous error analysis, and discuss its implications on the computational cost and choice of parameters.
While the algorithm itself was introduced before (and is closely related
to a class of algorithms for the evaluation of non-uniform discrete Fourier Transforms), the error analysis and its consequences appear to be novel.
We illustrate our results via numerical experiments.Wed, 20 Mar 2019 10:00:00 +0000Anonymous71503 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/set-theory-seminar-tom-benhamou-tau?delta=0" >Set Theory Seminar - Tom Benhamou (TAU) (part II)</a>
https://mathematics.huji.ac.il/event/set-theory-seminar-tom-benhamou-tau
Title: Projections of Tree-Prikry forcing.
Abstract:
Gitik, Kanovei and Koepke proved that if U is a normal measure over \kappa then the projections of Prikry forcing with U is essentially Prikry forcing with U.
The questions remains regarding to the Tree-Prikry forcing. Gitik and B. showed that without normality, it is possible that a Tree-Prikry generic sequence adds a Add(\kappa,1)
generic function.
In this talk we wish to examine which forcing notions can be projections of Tree-Prikry forcing under different large cardinals assumptions.
Specifically, we will concentrate on \kappa-distributive forcings, \kappa-strategically closed forcings and <\kappa-strategically closed forcings.Wed, 20 Mar 2019 12:00:00 +0000Anonymous75627 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/purim?delta=0" >Purim</a>
https://mathematics.huji.ac.il/event/purim
Wed, 20 Mar 2019 22:00:00 +0000Anonymous63630 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups?delta=2" >Zlil Sela and Alex Lubotzky "Model theory of groups"</a>
https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups
Zlil Sela and Alex Lubotzky "Model theory of groups"
In the first part of the course we will present some of the main results in the theory of free,
hyperbolic and related groups, many of which appear as lattices in rank one simple Lie groups
We will present some of the main objects that are used in studying the theory of these groups,
and at least sketch the proofs of some of the main theorems.
In the second part of the course, we will talk about the model theory of lattices in high rank simple Lie groups.
The latter behave very differently from the first. These lattices are all arithmetic ( by Margulis seminal work)
and their model theory is related to other properties, like super-rigidity, bounded generations, the congruence
subgroup problem and more.
All needed material will be explained. Sun, 10 Mar 2019 09:00:00 +0000Anonymous79155 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun?delta=2" >Ari Shnidman "Geometric expressions for derivatives of L-functions of automorphic forms" (after Yun and Zhang) </a>
https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun
Yun and Zhang compute the Taylor series expansion of an automorphic L-function over a function field, in terms of intersection pairings of certain algebraic cycles on the so-called moduli stack of shtukas. This generalizes the Waldspurger and Gross-Zagier formulas, which concern the first two coefficients.
The goal of the seminar is to develop the background necessary to state their formula, and then indicate the structure of the proof. If time allows, we may also discuss applications to the Birch and Swinnerton-Dyer conjecture for elliptic curves over function fields.
Tentative plan:
(a) Automorphic forms over function fields and their L-functions.
(b) Waldspurger's formula
(c) Relative trace formula
(d) Intersection theory on smooth algebraic varieties (and smooth stacks)
(e) Moduli spaces of Drinfeld's stukas
(f) Formula of Yun and Zhang
(g) Outline of proof
P.S. Those, who want to get an impression about the subject may consult
<a href="http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf">http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf</a>,
but we are going to assume less background and to go in a much slower pace.Sun, 10 Mar 2019 12:00:00 +0000Anonymous79154 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/combinatorics-kim-minki-technion-tba?delta=0" >Combinatorics: Kim Minki (Technion) TBA</a>
https://mathematics.huji.ac.il/event/combinatorics-kim-minki-technion-tba
Mon, 25 Mar 2019 09:00:00 +0000Anonymous79801 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry?delta=1" >Special course: A. Goncharov (Yale, visiting Einstein Institute of Mathematics) "Quantum geometry of moduli spaces of local systems on surfaces and representation theory" </a>
https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry
Abstract. This is a joint work with Linhui Shen.
A decorated surface is an oriented surface with punctures and a finite collection of special points on the boundary, considered modulo isotopy.
Let G be a split adjoint group. We introduce a moduli space Loc(G,S) of G-local systems on a decorated surface S, which reduces to the character variety when S has no boundary, and quantize it.
To quantize it, we consider a closely related moduli space P(G,S) and prove that it has a cluster Poisson structure, equivariant under the action of a discrete group containing the mapping class group of S, the product of the Weyl groups over the punctures of S, and the product of the braid group over the boundary components.
We will explain some applications to representation theory of quantum groups and Virasoro and W-algebras related to G.Mon, 18 Mar 2019 14:00:00 +0000Anonymous80465 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/dynamics-lunch-lauritz-streck-rigidity-sequence-construction-circle-0?delta=0" >Dynamics lunch: Nattalie Tamam </a>
https://mathematics.huji.ac.il/event/dynamics-lunch-lauritz-streck-rigidity-sequence-construction-circle-0
Tue, 26 Mar 2019 10:00:00 +0000Anonymous78492 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/tg-vivek-shende-berkeley-quantum-topology-symplectic-geometry?delta=0" >T&G: Vivek Shende (Berkeley), Quantum topology from symplectic geometry</a>
https://mathematics.huji.ac.il/event/tg-vivek-shende-berkeley-quantum-topology-symplectic-geometry
The discovery of the Jones polynomial in the early 80's was the beginning of ``quantum topology'': the introduction of various invariants which, in one sense or another, arise from quantum mechanics and quantum field theory. There are many mathematical constructions of these invariants, but they all share the defect of being first defined in terms of a knot diagram, and only subsequently shown by calculation to be independent of the presentation. As a consequence, the geometric meaning has been somewhat opaque.
By contrast, in the physics literature, there is a geometric story: Witten showed that the invariants can be extracted from a 3d quantum field theory, and he later showed that this quantum field theory can be found as a boundary condition in string theory. However, it has been difficult to translate these ideas into mathematics, because they a priori depend on infinite dimensional integrals which have no mathematically rigorous definition.
In the talk I will explain how just enough of the open topological string theory can be made mathematically precise so as to give a manifestly geometric interpretation of the skein relation: it is a boundary term which must be set to zero in order to invariantly count holomorphic curves with boundary. As a consequence one finds that the HOMFLY polynomial (a generalization of the Jones polynomial) is a count of holomorphic curves in a certain 6-dimensional setting which is invariantly and geometrically constructed from the three-dimensional topology.
This talk draws from the paper ``Skeins on Branes'' written with Tobias Ekholm.Tue, 26 Mar 2019 11:00:00 +0000Anonymous80649 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/oren-louidor-technion?delta=0" >Dynamics Seminar: Oren Louidor (Technion) A Scaling limit for the Cover Time of the Binary Tree.</a>
https://mathematics.huji.ac.il/event/oren-louidor-technion
Abstract:
We consider a continuous time random walk on the rooted binary tree of depth $n$ with all transition rates equal to one and study its cover time, namely the time until all vertices of the tree have been visited. We prove that, normalized by $2^{n+1} n$ and then centered by $(\log 2) n - \log n$, the cover time admits a weak limit as the depth of the tree tends to infinity. The limiting distribution is identified as that of a Gumbel random variable with rate one, shifted randomly by the logarithm of the sum of the limits of the derivative martingales associated with two negatively correlated discrete Gaussian free fields on the infinite version of the tree. The existence of the limit and its overall form were conjectured in the literature. Our approach is quite different from those taken in earlier works on this subject and relies in great part on a comparison with the extremal landscape of the discrete Gaussian free field on the tree. Joint work with Aser Cortines and Santiago Saglietti.Tue, 26 Mar 2019 12:15:00 +0000Anonymous77826 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/logic-seminar-shlomo-eshel?delta=0" >Logic Seminar - Shlomo Eshel</a>
https://mathematics.huji.ac.il/event/logic-seminar-shlomo-eshel
Wed, 27 Mar 2019 09:00:00 +0000Anonymous80591 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/analysis-seminar-ofer-zeitouni-weizmann?delta=0" >Analysis Seminar: Ofer Zeitouni (Weizmann) "Perturbations of non-normal matrices"</a>
https://mathematics.huji.ac.il/event/analysis-seminar-ofer-zeitouni-weizmann
Title: Perturbations of non-normal matrices
Abstract: Eigenvalues of Hermitian matrices are stable under perturbations in the sense that the $l_p$ norm of the difference between (ordered)
eigenvalues is bounded by the Schatten norm of the perturbation. A similar control does not hold for non-Normal matrices. In the talk, I will discuss
perturbation by "vanishing noise" of large Toeplitz matrices with finitely supported symbols. In such cases, the empirical measure of eigenvalues converges to a measure which is the push forward of the uniform measure on $S^1$ by the symbol, when a (polynomialy) vanishing noise is applied. I will introduce the required notions,
explain why the above statement is true, and describe recent results concerning outliers.
Joint work(s) with Anirban Basak and Elliot PaquetteWed, 27 Mar 2019 10:00:00 +0000Anonymous64572 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/set-theory-seminar-ralf-schindler-munster?delta=0" >Set Theory Seminar - Ralf Schindler (Munster), "Paradoxical" sets with no well-ordering of the reals</a>
https://mathematics.huji.ac.il/event/set-theory-seminar-ralf-schindler-munster
Title: "Paradoxical" sets with no well-ordering of the reals
Abstract: By a Hamel basis we mean a basis for the reals, R, construed as a vecor space over
the field of rationals. In 1905, G. Hamel constructed such a basis from a well-ordering
of R. In 1975, D. Pincus and K. Prikry asked "whether a Hamel basis exists in any
model in which R cannot be well ordered." About two years ago, we answered this positively
in a joint paper with M. Beriashvili, L. Wu, and L. Yu. In more recent joint
work, additionally with J. Brendle and F. Castiblanco we constructed a model of
ZF with a Luzin set, a Sierpiński set, a Burstin basis, and a Mazurkiewicz set,
but with no well-ordering of R. In joint work with V. Kanovei, we constructed such a model in which even all those "paradoxical" sets are projective. Wed, 27 Mar 2019 12:00:00 +0000Anonymous75630 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/colloquium-boaz-klartag-weizman?delta=0" >Colloquium: Alexei Entin (TAU) - Sectional monodromy and the distribution of irreducible polynomials</a>
https://mathematics.huji.ac.il/event/colloquium-boaz-klartag-weizman
Abstract: Many classical problems on the distribution of prime numbers (and related objects with multiplicative origin) admit function field analogues which can be proved in the large finite field limit. The first results of this type were obtained in the 70's by Swinnerton-Dyer and S. D. Cohen and in recent years there has been a resurgence of activity in this field. We will explain how many of these results initially obtained via ad hoc calculations can be related to the classical algebro-geometric problem of computing the sectional monodromy of curves and present new results in both fields.Thu, 28 Mar 2019 12:30:00 +0000Anonymous63628 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups?delta=3" >Zlil Sela and Alex Lubotzky "Model theory of groups"</a>
https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups
Zlil Sela and Alex Lubotzky "Model theory of groups"
In the first part of the course we will present some of the main results in the theory of free,
hyperbolic and related groups, many of which appear as lattices in rank one simple Lie groups
We will present some of the main objects that are used in studying the theory of these groups,
and at least sketch the proofs of some of the main theorems.
In the second part of the course, we will talk about the model theory of lattices in high rank simple Lie groups.
The latter behave very differently from the first. These lattices are all arithmetic ( by Margulis seminal work)
and their model theory is related to other properties, like super-rigidity, bounded generations, the congruence
subgroup problem and more.
All needed material will be explained. Sun, 10 Mar 2019 09:00:00 +0000Anonymous79155 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun?delta=3" >Ari Shnidman "Geometric expressions for derivatives of L-functions of automorphic forms" (after Yun and Zhang) </a>
https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun
Yun and Zhang compute the Taylor series expansion of an automorphic L-function over a function field, in terms of intersection pairings of certain algebraic cycles on the so-called moduli stack of shtukas. This generalizes the Waldspurger and Gross-Zagier formulas, which concern the first two coefficients.
The goal of the seminar is to develop the background necessary to state their formula, and then indicate the structure of the proof. If time allows, we may also discuss applications to the Birch and Swinnerton-Dyer conjecture for elliptic curves over function fields.
Tentative plan:
(a) Automorphic forms over function fields and their L-functions.
(b) Waldspurger's formula
(c) Relative trace formula
(d) Intersection theory on smooth algebraic varieties (and smooth stacks)
(e) Moduli spaces of Drinfeld's stukas
(f) Formula of Yun and Zhang
(g) Outline of proof
P.S. Those, who want to get an impression about the subject may consult
<a href="http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf">http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf</a>,
but we are going to assume less background and to go in a much slower pace.Sun, 10 Mar 2019 12:00:00 +0000Anonymous79154 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/combinatorics-raphy-yuster-u-haifa-tba?delta=0" >Combinatorics: Raphy Yuster (U. Haifa) TBA</a>
https://mathematics.huji.ac.il/event/combinatorics-raphy-yuster-u-haifa-tba
Mon, 01 Apr 2019 08:00:00 +0000Anonymous79800 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry?delta=2" >Special course: A. Goncharov (Yale, visiting Einstein Institute of Mathematics) "Quantum geometry of moduli spaces of local systems on surfaces and representation theory" </a>
https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry
Abstract. This is a joint work with Linhui Shen.
A decorated surface is an oriented surface with punctures and a finite collection of special points on the boundary, considered modulo isotopy.
Let G be a split adjoint group. We introduce a moduli space Loc(G,S) of G-local systems on a decorated surface S, which reduces to the character variety when S has no boundary, and quantize it.
To quantize it, we consider a closely related moduli space P(G,S) and prove that it has a cluster Poisson structure, equivariant under the action of a discrete group containing the mapping class group of S, the product of the Weyl groups over the punctures of S, and the product of the braid group over the boundary components.
We will explain some applications to representation theory of quantum groups and Virasoro and W-algebras related to G.Mon, 18 Mar 2019 14:00:00 +0000Anonymous80465 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/dynamics-lunch-lauritz-streck-rigidity-sequence-construction-circle-1?delta=0" >Dynamics lunch: Lauritz Streck "A rigidity sequence construction on the circle"</a>
https://mathematics.huji.ac.il/event/dynamics-lunch-lauritz-streck-rigidity-sequence-construction-circle-1
Tue, 02 Apr 2019 09:00:00 +0000Anonymous80373 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/yonatan-gutman-impan?delta=0" >Dynamics Seminar : Yonatan Gutman (IMPAN).</a>
https://mathematics.huji.ac.il/event/yonatan-gutman-impan
Tue, 02 Apr 2019 11:15:00 +0000Anonymous72572 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/logic-seminar-tomasz-rzepecki-0?delta=0" >Logic Seminar - Tomasz Rzepecki</a>
https://mathematics.huji.ac.il/event/logic-seminar-tomasz-rzepecki-0
Wed, 03 Apr 2019 08:00:00 +0000Anonymous80590 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/analysis-seminar-malte-gerhold-technion?delta=0" >Analysis Seminar: Malte Gerhold (Technion)</a>
https://mathematics.huji.ac.il/event/analysis-seminar-malte-gerhold-technion
Wed, 03 Apr 2019 09:00:00 +0000Anonymous78858 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/set-theory-seminar-jialiang-he-biu?delta=0" >Set Theory Seminar - Jialiang He (BIU)</a>
https://mathematics.huji.ac.il/event/set-theory-seminar-jialiang-he-biu
Wed, 03 Apr 2019 11:00:00 +0000Anonymous79247 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/colloquium-uri-shapira-technion?delta=0" >Colloquium: Uri Shapira (Technion)</a>
https://mathematics.huji.ac.il/event/colloquium-uri-shapira-technion
Thu, 04 Apr 2019 11:30:00 +0000Anonymous63626 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups?delta=4" >Zlil Sela and Alex Lubotzky "Model theory of groups"</a>
https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups
Zlil Sela and Alex Lubotzky "Model theory of groups"
In the first part of the course we will present some of the main results in the theory of free,
hyperbolic and related groups, many of which appear as lattices in rank one simple Lie groups
We will present some of the main objects that are used in studying the theory of these groups,
and at least sketch the proofs of some of the main theorems.
In the second part of the course, we will talk about the model theory of lattices in high rank simple Lie groups.
The latter behave very differently from the first. These lattices are all arithmetic ( by Margulis seminal work)
and their model theory is related to other properties, like super-rigidity, bounded generations, the congruence
subgroup problem and more.
All needed material will be explained. Sun, 10 Mar 2019 09:00:00 +0000Anonymous79155 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun?delta=4" >Ari Shnidman "Geometric expressions for derivatives of L-functions of automorphic forms" (after Yun and Zhang) </a>
https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun
Yun and Zhang compute the Taylor series expansion of an automorphic L-function over a function field, in terms of intersection pairings of certain algebraic cycles on the so-called moduli stack of shtukas. This generalizes the Waldspurger and Gross-Zagier formulas, which concern the first two coefficients.
The goal of the seminar is to develop the background necessary to state their formula, and then indicate the structure of the proof. If time allows, we may also discuss applications to the Birch and Swinnerton-Dyer conjecture for elliptic curves over function fields.
Tentative plan:
(a) Automorphic forms over function fields and their L-functions.
(b) Waldspurger's formula
(c) Relative trace formula
(d) Intersection theory on smooth algebraic varieties (and smooth stacks)
(e) Moduli spaces of Drinfeld's stukas
(f) Formula of Yun and Zhang
(g) Outline of proof
P.S. Those, who want to get an impression about the subject may consult
<a href="http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf">http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf</a>,
but we are going to assume less background and to go in a much slower pace.Sun, 10 Mar 2019 12:00:00 +0000Anonymous79154 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/combinatorics-roy-meshulam-technion-tba?delta=0" >Combinatorics: Roy Meshulam (Technion) TBA</a>
https://mathematics.huji.ac.il/event/combinatorics-roy-meshulam-technion-tba
Mon, 08 Apr 2019 08:00:00 +0000Anonymous79799 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry?delta=3" >Special course: A. Goncharov (Yale, visiting Einstein Institute of Mathematics) "Quantum geometry of moduli spaces of local systems on surfaces and representation theory" </a>
https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry
Abstract. This is a joint work with Linhui Shen.
A decorated surface is an oriented surface with punctures and a finite collection of special points on the boundary, considered modulo isotopy.
Let G be a split adjoint group. We introduce a moduli space Loc(G,S) of G-local systems on a decorated surface S, which reduces to the character variety when S has no boundary, and quantize it.
To quantize it, we consider a closely related moduli space P(G,S) and prove that it has a cluster Poisson structure, equivariant under the action of a discrete group containing the mapping class group of S, the product of the Weyl groups over the punctures of S, and the product of the braid group over the boundary components.
We will explain some applications to representation theory of quantum groups and Virasoro and W-algebras related to G.Mon, 18 Mar 2019 14:00:00 +0000Anonymous80465 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/analysis-seminar-gregory-berkolaiko-texas?delta=0" >Analysis Seminar: Gregory Berkolaiko (Texas)</a>
https://mathematics.huji.ac.il/event/analysis-seminar-gregory-berkolaiko-texas
Wed, 10 Apr 2019 09:00:00 +0000Anonymous64574 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/set-theory-seminar-yair-hayut-kgrc?delta=0" >Set Theory Seminar - Yair Hayut (KGRC)</a>
https://mathematics.huji.ac.il/event/set-theory-seminar-yair-hayut-kgrc
Wed, 10 Apr 2019 11:00:00 +0000Anonymous78881 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/special-analysis-seminar-dirk-hundertmark-karlsruhe?delta=0" >Special Analysis Seminar: Dirk Hundertmark (Karlsruhe)</a>
https://mathematics.huji.ac.il/event/special-analysis-seminar-dirk-hundertmark-karlsruhe
Wed, 10 Apr 2019 11:30:00 +0000Anonymous74633 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/colloquium-3?delta=0" >Colloquium: Ohad Feldheim</a>
https://mathematics.huji.ac.il/event/colloquium-3
Thu, 11 Apr 2019 11:30:00 +0000Anonymous63624 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups?delta=5" >Zlil Sela and Alex Lubotzky "Model theory of groups"</a>
https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups
Zlil Sela and Alex Lubotzky "Model theory of groups"
In the first part of the course we will present some of the main results in the theory of free,
hyperbolic and related groups, many of which appear as lattices in rank one simple Lie groups
We will present some of the main objects that are used in studying the theory of these groups,
and at least sketch the proofs of some of the main theorems.
In the second part of the course, we will talk about the model theory of lattices in high rank simple Lie groups.
The latter behave very differently from the first. These lattices are all arithmetic ( by Margulis seminal work)
and their model theory is related to other properties, like super-rigidity, bounded generations, the congruence
subgroup problem and more.
All needed material will be explained. Sun, 10 Mar 2019 09:00:00 +0000Anonymous79155 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun?delta=5" >Ari Shnidman "Geometric expressions for derivatives of L-functions of automorphic forms" (after Yun and Zhang) </a>
https://mathematics.huji.ac.il/event/ari-shnidman-geometric-expressions-derivatives-l-functions-automorphic-forms-after-yun
Yun and Zhang compute the Taylor series expansion of an automorphic L-function over a function field, in terms of intersection pairings of certain algebraic cycles on the so-called moduli stack of shtukas. This generalizes the Waldspurger and Gross-Zagier formulas, which concern the first two coefficients.
The goal of the seminar is to develop the background necessary to state their formula, and then indicate the structure of the proof. If time allows, we may also discuss applications to the Birch and Swinnerton-Dyer conjecture for elliptic curves over function fields.
Tentative plan:
(a) Automorphic forms over function fields and their L-functions.
(b) Waldspurger's formula
(c) Relative trace formula
(d) Intersection theory on smooth algebraic varieties (and smooth stacks)
(e) Moduli spaces of Drinfeld's stukas
(f) Formula of Yun and Zhang
(g) Outline of proof
P.S. Those, who want to get an impression about the subject may consult
<a href="http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf">http://web.stanford.edu/~tonyfeng/HigherGrossZagier.pdf</a>,
but we are going to assume less background and to go in a much slower pace.Sun, 10 Mar 2019 12:00:00 +0000Anonymous79154 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/combinatorics-eyal-karni-tba?delta=0" >Combinatorics: Eyal Karni, TBA</a>
https://mathematics.huji.ac.il/event/combinatorics-eyal-karni-tba
Mon, 15 Apr 2019 08:00:00 +0000Anonymous79798 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry?delta=4" >Special course: A. Goncharov (Yale, visiting Einstein Institute of Mathematics) "Quantum geometry of moduli spaces of local systems on surfaces and representation theory" </a>
https://mathematics.huji.ac.il/event/special-course-goncharov-yale-visiting-einstein-institute-mathematics-quantum-geometry
Abstract. This is a joint work with Linhui Shen.
A decorated surface is an oriented surface with punctures and a finite collection of special points on the boundary, considered modulo isotopy.
Let G be a split adjoint group. We introduce a moduli space Loc(G,S) of G-local systems on a decorated surface S, which reduces to the character variety when S has no boundary, and quantize it.
To quantize it, we consider a closely related moduli space P(G,S) and prove that it has a cluster Poisson structure, equivariant under the action of a discrete group containing the mapping class group of S, the product of the Weyl groups over the punctures of S, and the product of the braid group over the boundary components.
We will explain some applications to representation theory of quantum groups and Virasoro and W-algebras related to G.Mon, 18 Mar 2019 14:00:00 +0000Anonymous80465 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/passover-0?delta=0" >Passover</a>
https://mathematics.huji.ac.il/event/passover-0
Wed, 17 Apr 2019 21:00:00 +0000Anonymous63622 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/passover?delta=0" >Passover</a>
https://mathematics.huji.ac.il/event/passover
Wed, 24 Apr 2019 21:00:00 +0000Anonymous63620 at https://mathematics.huji.ac.il<a href="https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups?delta=6" >Zlil Sela and Alex Lubotzky "Model theory of groups"</a>
https://mathematics.huji.ac.il/event/zlil-sela-and-alex-lubotzky-model-theory-groups
Zlil Sela and Alex Lubotzky "Model theory of groups"
In the first part of the course we will present some of the main results in the theory of free,
hyperbolic and related groups, many of which appear as lattices in rank one simple Lie groups
We will present some of the main objects that are used in studying the theory of these groups,
and at least sketch the proofs of some of the main theorems.
In the second part of the course, we will talk about the model theory of lattices in high rank simple Lie groups.
The latter behave very differently from the first. These lattices are all arithmetic ( by Margulis seminal work)
and their model theory is related to other properties, like super-rigidity, bounded generations, the congruence
subgroup problem and more.
All needed material will be explained. Sun, 10 Mar 2019 09:00:00 +0000Anonymous79155 at https://mathematics.huji.ac.il