• 2019 Jun 24

# Combinatorics: Doron Puder (TAU) "Aldous' spectral gap conjecture for normal sets"

11:00am to 1:00pm

## Location:

CS bldg, room B-500, Safra campus
Speaker: Doron Puder, TAU Title: Aldous' spectral gap conjecture for normal sets Abstract: Aldous' spectral gap conjecture, proved in 2009 by Caputo, Liggett and Richthammer, states the following a priori very surprising fact: the spectral gap of a random walk on a finite graph is equal to the spectral gap of the interchange process on the same graph.
• 2019 Jun 23

# Special Talk - Saharon Shelah

4:00pm to 6:00pm

## Location:

Manchester Building, Room 110

Simplicity and universality

Fixing a complete first order theory T, countable for transparency, we had known quite well for which cardinals T has a saturated model. This depends on T of course - mainly of
whether it is stable/super-stable. But the older, precursor notion of having
a universal notion lead us to more complicated answer, quite partial so far, e.g
the strict order property and even SOP_4 lead to having "few cardinals"
(a case of GCH almost holds near the cardinal). Note  that eg GCH gives a complete
• 2019 Jun 23

# Ari Shnidman "Geometric expressions for derivatives of L-functions of automorphic forms" (after Yun and Zhang)

Repeats every week every Sunday until Sun Jun 23 2019 except Sun Apr 21 2019.
2:00pm to 4:00pm

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.
• 2019 Jun 23

# Zlil Sela and Alex Lubotzky "Model theory of groups"

Repeats every week every Sunday until Sat Jun 29 2019 except Sun Apr 21 2019.
11:00am to 1:00pm

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.
• 2019 Jun 20

# Basic Notions: Hillel Furstenberg (HUJI) : "Affine (Convex) representations and harmonic functions on symmetric spaces." Part 1

4:00pm to 5:15pm

## Location:

Ross 70
Classical group representation theory deals with group actions on linear spaces; we consider group actions on compact convex spaces, preserving topological and convex structure. We focus on irreducible actions, and show that for a large class of groups - including connected Lie groups - these can be determined. There is a close connection between this and the theory of bounded harmonic functions on symmetric spaces and their boundary values.
• 2019 Jun 20

# Zuchovitzky lecture: Pavel Giterman - Descendant Invariants in Open Gromov Witten Theory

2:30pm to 3:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem
Abstract:
• 2019 Jun 20

# Groups & dynamics seminar: Noam Kolodner (HUJI) - Surjectivity of morphisms of labeled core-graph under the action of automorphisms of a free group

10:00am to 11:00am

For a finitely generated subgroup H of the free group F_r, the Stallings graph of H is a finite combinatorial graph, whose edges are labeled by r letters (and their inverses), so that paths in the graphs correspond precisely to the words in H. Furthermore, there is a map between the graphs of two subgroups H and J, precisely when one is a subgroups of the other. Stallings theory studies the algebraic information which is encoded in the combinatorics of these graphs and maps.
• 2019 Jun 19

# Analysis Seminar: Daniel Ofner (HUJI) "Mesoscopic universality for orthogonal polynomial ensembles on the unit circle"

12:00pm to 1:00pm

## Location:

Ross 70
Title: Mesoscopic universality for orthogonal polynomial ensembles on the unit circle
• 2019 Jun 19

# Logic Seminar - Shlomo Eshel

11:00am to 1:00pm

## Location:

Ross 63
A  generalization of the Szemeredi-Trotter theorem to o-minimal expansions of fields
• 2019 Jun 18

# Dynamics and probability: David Jerison (MIT) - Localization of eigenfunctions via an effective potential

2:00pm to 3:00pm

## Location:

Ross 70
We discuss joint work with Douglas Arnold, Guy David, Marcel Filoche and Svitlana Mayboroda. Consider for the operator $L = -\Delta + V$ with periodic boundary conditions, and more generally on the manifold with or without boundary. Anderson localization, a significant feature of semiconductor physics, says that the eigenfunctions of $L$ are exponentially localized with high probability for many classes of random potentials $V$. Filoche and Mayboroda introduced the function $u$ solving $Lu = 1$ and showed numerically that it strongly reflects this localization.