2019
Oct
29

# Events & Seminars

2019
Nov
06

# Analysis Seminar: Eyal Seelig (HUJI) "On the spacing of zeros of paraorthogonal polynomials for singular measures"

12:00pm to 1:00pm

## Location:

Ross 70

Title: On the spacing of zeros of paraorthogonal polynomials for singular measures

Abstract:

Abstract:

2020
Jan
01

# Analysis Seminar: Cyril Tintarev (Uppsala, visiting Technion) "Weak convergence methods: Cocompactness and structured defect of compactness" )

12:00pm to 1:00pm

## Location:

Ross 70

Profile decomposition theorem is a refinement of the Banach-Alaoglu (weak compactness) theorem in presence of a given set of quasi-isometries. We define a class of co-compact embeddings of Banach spaces that yields a clear structure for bounded divergent sequences. This is a generalization, on the functional-analytic level, of the concentration compactness principle of Lions. Applications include Sobolev, Jawerts Strichartz and Moser-Trudinger embeddings.

2020
Jan
21

# Sebastian Barbieri (Bordeaux) On the relation between topological entropy and asymptotic pairs

2:00pm to 3:00pm

**Abstract**: I will present some results that state that under certain

topological conditions, any action of a countable amenable group with

positive topological entropy admits off-diagonal asymptotic pairs. I

shall explain the latest results on this topic and present a new

approach, inspired from thermodynamical formalism and developed in

collaboration with Felipe García-Ramos and Hanfeng Li, which unifies all

previous results and yields new classes of algebraic actions for which

2019
Nov
05

# Or Landesberg, On Radon measures invariant under horospherical flows on geometrically infinite quotients

2:00pm to 3:00pm

Abstract:

We consider a locally finite (Radon) measure on SO(d,1)/Gamma

invariant under a horospherical subgroup of SO(d,1) where Gamma is a discrete, but not necessarily geometrically finite, subgroup. We show that whenever the measure does not observe any additional invariance properties then it must be supported on a set of points with geometrically degenerate trajectories under the corresponding contracting 1-parameter diagonalizable flow (geodesic flow). This is joint work with Elon Lindenstrauss.

We consider a locally finite (Radon) measure on SO(d,1)/Gamma

invariant under a horospherical subgroup of SO(d,1) where Gamma is a discrete, but not necessarily geometrically finite, subgroup. We show that whenever the measure does not observe any additional invariance properties then it must be supported on a set of points with geometrically degenerate trajectories under the corresponding contracting 1-parameter diagonalizable flow (geodesic flow). This is joint work with Elon Lindenstrauss.

2020
Jan
07

# Nishant Chandgotia: Characteristic measures

12:00pm to 1:00pm

## Location:

Faculty Lounge - Einstein Institute

The talk is based on the paper : https://arxiv.org/abs/1908.02930

2020
Mar
26

2020
Apr
02

2020
Mar
19

# Colloquium: CANCELLED

2:30pm to 3:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem

Abstract: A spanning tree of a graph G is a subgraph with the same vertex set which is a tree. In 1981, McKay proved an asymptotic result regarding the number of spanning trees in random k-regular graphs. In this talk we will discuss an analogous result for certain random simplicial complexes (All terms will be explained in the talk).

.

The talk is based on a joint work with Lior Tenenbaum.

2019
Oct
27

# Kazhdan Sunday seminar: Tomer Schlank "Prismatic cohomology" (after Bhatt and Scholze)

Repeats every week every Sunday until Sat Feb 01 2020 except Sun Oct 27 2019.

4:00pm to 6:00pm4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

4:00pm to 6:00pm

## Location:

Ross 70

Tomer Schlank "Prismatic cohomology" (after Bhatt and Scholze)

Abstract: We shall discuss (Weil) cohomology theories for algebraic varieties.

When working with schemes over p-complete rings and taking cohomologies with p-complete coefficients one gets a plurality of such cohomology theories (e'tale, De-Rahm, Crystalline, etc.. ). The comparison between these different cohomology theories is a subtle subject known as "p-adic hodge theory" .

Abstract: We shall discuss (Weil) cohomology theories for algebraic varieties.

When working with schemes over p-complete rings and taking cohomologies with p-complete coefficients one gets a plurality of such cohomology theories (e'tale, De-Rahm, Crystalline, etc.. ). The comparison between these different cohomology theories is a subtle subject known as "p-adic hodge theory" .

2019
Oct
27

# Kazhdan Sunday seminar: Elon Lindenstrauss "Arithmetic applications of diagonal flows"

Repeats every week every Sunday until Sat Feb 01 2020 except Sun Oct 27 2019.

11:00am to 1:00pm11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

11:00am to 1:00pm

## Location:

Ross 70

Elon Lindenstrauss "Arithmetic applications of diagonal flows"

I will give an introduction to the dynamics of higher rank diagonal flows on homogeneous spaces,

including both the rigidity theorems of such flows and their applications to orbits of arithmetic interest,

in particular CM points and integer points on spheres.

I hope to cover parts of the following papers:

Einsiedler, Manfred ; Lindenstrauss, Elon ; Michel, Philippe ; Venkatesh, Akshay . The distribution of closed geodesics

I will give an introduction to the dynamics of higher rank diagonal flows on homogeneous spaces,

including both the rigidity theorems of such flows and their applications to orbits of arithmetic interest,

in particular CM points and integer points on spheres.

I hope to cover parts of the following papers:

Einsiedler, Manfred ; Lindenstrauss, Elon ; Michel, Philippe ; Venkatesh, Akshay . The distribution of closed geodesics

2019
Oct
27

# Kazhdan Sunday seminar: "Computation, quantumness, symplectic geometry, and information" (Gil Kalai, Leonid Polterovich, with participation of Dorit Aharonov and Guy Kindler)

Repeats every week every Sunday until Sat Feb 01 2020 except Sun Dec 29 2019.

2:00pm to 4:00pm2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

2:00pm to 4:00pm

## Location:

Ross 70

Tentative syllabus

1. Mathematical models of classical and quantum mechanics.

2. Correspondence principle and quantization.

3. Classical and quantum computation: gates, circuits, algorithms

(Shor, Grover). Solovay-Kitaev. Some ideas of cryptography

4. Quantum noise and measurement, and rigidity of the Poisson bracket.

5. Noisy classical and quantum computing and error correction, threshold theorem- quantum fault tolerance (small noise is good for quantum computation). Kitaev's surface code.

2019
Dec
18

# Analysis Seminar: Moshe Goldberg (Technion) "Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras"

12:00pm to 1:00pm

## Location:

Ross 70

Title: Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras

Abstract: The purpose of this talk is to introduce a new concept, the \textit{radius} of elements in arbitrary finite-dimensional power-associative algebras over the field of real or complex numbers. It is an extension of the well known notion of the spectral radius.

As examples, we shall discuss this new radius in the setting of matrix algebras, where it indeed reduces to the spectral radius, and then in the Cayley-Dickson algebras, where it is something quite different.

2020
Jan
08

# Analysis Seminar: Gershon Wolansky (Technion) "Limit theorems of optimal transportation and teleportation"

12:00pm to 1:00pm

## Location:

Ross 70

Title:

Limit theorems of optimal transportation and teleportation

Abstract:

I’ll review the fundamental definitions in optimal transport theory and discuss limit theorems along with applications to regularity of flows and, if time permit, a novel application to optimal networks,

2019
Dec
12

# Colloquium: Menachem Lazar (Bar Ilan) - Spatial point sets, level set geometry, and Voronoi topology structure analysis

2:30pm to 3:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem

Physical systems are regularly studied as spatial point sets, and so understanding the structure in such sets is a very natural problem. However, aside from several special cases, describing the manner in which a set of points can be arranged in space has been historically challenging. In the first part of this talk, I will show how consideration of the configuration space of local arrangements of neighbors, and a few simple results in metric geometry, can shed light on essential challenges of this problem, and in the classification of data more generally.