Events & Seminars

2018 Nov 21

Logic Seminar - Saharon Shelah

11:00am to 1:00pm

Location: 

Ross 63
קשת איוּם מוֹדל כוֹלל

the spectrum of the existence of a universal model


תמצית/abstract:
קיוּם מוֹדל כולל של תורה בעצמה נתוּנה זו שאלה טבעית בתוֹרת המוֹדלים ובתוֹרת הקבוּצוֹת. נטפל בתנאים מספיקים לאי קיוּם, אין צוֹרך בידיעוֹת מוּקדמוֹת.

The existence of a universal model (of a theory T in a cardinal lambda)  is a natural question in model theory and set theory.  We shall deal with new sufficient conditions for non-existence.
No need of previous knowledge
2018 Dec 26

Logic Seminar - Antongiulio Fornasiero

11:00am to 1:00pm

Location: 

Ross 63

Generic derivations on o-minimal structures
Antongiulio Fornasiero

A derivation on a field K is a map d from K to K such that  d(x + y) = d(x) + d(y) and d(x y) = x d(y) + d(x) y.

Given an o-minimal structure M in a language L, we introduce the notion L-derivation, i.e derivation compatible with L. For example, if M is the field of reals with exponentiation, then we further require that the derivation d satisfies d(exp x) = exp(x) d(x).

2018 Nov 20

T&G: Gangotryi Sorcar (Hebrew University), On the topology of the Teichmuller space of negatively curved Riemannian metrics

2:00pm to 3:30pm

Location: 

Room 209, Manchester Building, Jerusalem
This talk is a survey on results concerning the Teichmuller space of negatively curved Riemannian metrics on M. It is defined as the quotient space of the space of all negatively curved Riemannian metrics on M modulo the space of all isotopies of M that are homotopic to the identity. This space was shown to have highly non-trivial homotopy when M is real hyperbolic by Tom Farrell and Pedro Ontaneda in 2009.
2018 Nov 21

Set Theory Seminar: Yair Hayut "Chang's Conjecture"

2:00pm to 3:30pm

Location: 

Ross 63
Title: Chang's Conjecture (joint with Monroe Eskew)
Abstract:
I will review some consistency results related to Chang's Conjecture (CC).
First I will discuss some classical results of deriving instances of CC from huge cardinals and the new results for getting instances of CC from supercompact cardinals, and present some open problems.
Then, I will review the consistency proof of some versions of the Global Chang's Conjecture - which is the consistency of the occurrence many instances of CC simultaneously.
2018 Nov 19

NT&AG: Gaku Liu (Max Planck Institute of Mathematics), "Semistable reduction in characteristic 0"

2:30pm to 4:00pm

Location: 

Room 70A, Ross Building, Jerusalem, Israel
We address the semistable reduction conjecture of Abramovich and Karu: we prove that every surjective morphism of complex projective varieties can be modified to a semistable one. The key ingredient is a combinatorial result on triangulating lattice Cayley polytopes. Joint work with Karim Adiprasito and Michael Temkin.
The lecture consists of two parts: first 30 minutes an algebra-geometric introduction by Michael Temkin, and then a one hour talk by Gaku Liu about the key combinatorial result.
2018 Dec 05

Logic Seminar - Omer Ben-Neria

11:00am to 1:00pm

Location: 

Ross 63

Hjorth's theory of turbulence


The purpose of this talk is to survey several results from Hjorth's theory of turbulent polish group actions.
 
 We will start by discussing certain classification problems associated with Borel equivalence relations, and present the notions of Borel reductions and smooth relations, and the E_0 dichotomy theorem of Harrington-Kechris-Louveau.
 
2018 Dec 19

Logic Seminar - Udi Hrushovski

11:00am to 1:00pm

Location: 

Ross 63

Model theory and geometry of fields with automorphism


I will review some of the model-theoretic geometry of difference varieties, and some open problems. 
A difference variety is defined by polynomial equations with an additional operator $\si$ interpreted as a field automorphism. 
2018 Nov 14

Logic Seminar - Yair Hayut

11:00am to 1:00pm

Location: 

Ross 63

Global Chang's Conjecture

Yair Hayut - (joint with Monroe Eskew)

For $\kappa < \lambda$ infinite cardinals let us consider the following generalization of the Lowenheim-Skolem theorem:
"For every algebra with countably many operations over $\lambda^+$ there is a sub-algebra with order type exactly $\kappa^+$".

We will discuss the consistency and inconsistency of some global versions of this statement and present some open questions. 
2018 Dec 24

NT & AG Lunch: Jasmin Matz "Automorphic L-functions II"

1:00pm to 2:00pm

Location: 

Faculty lounge, Math building
Having defined the standard automorphic L-function for GL(n) in the first talk, we now proceed to the definition of L-functions for general split groups and representations of the Langlands dual group
(which will be discussed as well). I then want to discuss some results and conjectures regarding these
L-functions.
Key words: L-functions, Langlands dual group, modular forms
2018 Dec 10

NT & AG Lunch: Yakov Varshavsky "Introduction to algebraic stacks"

1:00pm to 2:00pm

Location: 

Faculty lounge, Math building
Abstract: The goal of this talk will be to explain what are algebraic stacks and why they naturally appear.
If time permits, we will start discussing our main example of moduli spaces of vector bundles on a smooth projective curve.
Key words: groupoids, Grothendieck topologies, etale and smooth morphisms of schemes, algebraic stacks.
2018 Nov 26

NT & AG Lunch: Sazzad Biswas "Local factors, and converse problems"

1:00pm to 2:00pm

Location: 

Faculty lounge, Math building

Title: Local (L-, \epsilon- and \gamma-) factors, and converse theorems.
Abstract: Our first goal will be to define local (L-,\epsilon- and \gamma-) factors and to study their properties. These factors are needed to formulate the local Langlands correspondence for GL(n), which was outlined two weeks ago. We will do it first for supercuspidal representations of GL(n) and then for local Galois representations, that is, for representations of Gal(\bar{F}/F), where F is a local field.

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