2015 Dec 08

# Dynamics lunch: Elchanan Mossel (UPenn): What do physicists mean when they talk about replica symmetry breaking - some ideas from the proof of the k satisfiability threshold conjecture.

12:00pm to 1:00pm

## Location:

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)
2018 Jan 16

# Dynamics Lunch: Nishat Chnadgotia (TAU) "The periodic tiling conjecture."

12:00pm to 1:00pm

2017 Mar 02

# Basic Notions: Ori Gurel Gurevich (HUJI) - On Smirnov's proof of conformal invariance of critical percolation

4:00pm to 5:00pm

## Location:

Manchester Building, Lecture Hall 2
Abstract:

Let G be an infinite connected graph. For each vertex of G we decide
randomly and independently: with probability p we paint it blue and
with probability 1-p we paint it yellow. Now, consider the subgraph of
blue vertices: does it contain an infinite connected component?

There is a critical probability p_c(G), such that if p>p_c then almost
surely there is a blue infinite connected component and if pp_c or p<p_c.

We will focus on planar graphs, specifically on the triangular
2018 Jan 11

# Basic Notions: Michael Hopkins (Harvard) - Homotopy theory and algebraic vector bundles

4:00pm to 5:15pm

## Location:

Einstein 2
Abstract: This talk will describe joint work with Aravind Asok and Jean Fasel using the methods of homotopy theory to construct new examples of algebraic vector bundles. I will describe a natural conjecture which, if true, implies that over the complex numbers the classification of algebraic vector bundles over smooth affine varieties admitting an algebraic cell decomposition coincides with the classification of topological complex vector bundles.
2017 Apr 27

# Basic notions: Raz Kupferman

4:00pm to 5:15pm

Abstract: The “geometrization" of mechanics (whether classical, relativistic or quantum) is almost as old as modern differential geometry, and it nowadays textbook material. The formulation of a mathematically-sound theory for the mechanics of continuum media is still a subject of ongoing research. In this lecture I will present a geometric formulation of continuum mechanics, starting with the definition of the fundamental physical observables, e.g., force, deformation, stress and traction. The outcome of this formulation is a generalization of Newton’s "F=ma” equation for continuous media.
2018 Jan 04

# Basic Notions Seminar: Zlil Sela (HUJI) - "Projection complexes, actions on quasi-trees, and applications to mapping class groups of surfaces" (after Bestvina-Bromberg-Fujiwara).

4:00pm to 5:15pm

## Location:

Ross 70
Projection complexes, actions on quasi-trees, and applications to mapping class groups of surfaces (after Bestvina-Bromberg-Fujiwara).
2018 Jan 14

# Kazhdan Sunday seminars: Leonid Polterovich (TAU) "Algebraic methods in symplectic topology"

3:00pm to 5:00pm

## Location:

Ross buildings, Room 70A.
Nick Rozenblyum (Chicago) will talk about Tamarkin's category.
2018 Jan 14

# Kazhdan Sunday seminars: Tomer Schlank (HUJI) "Topics in algebraic topology".

11:00am to 1:00pm

## Location:

Ross buildings, Room 70A.
10:00-11:00 We will have a special lecture on string diagrams by Shaul Barkan 11:00-13:00 Asaf Horev will continue his talk about ambidexterity and duality
2017 Dec 13

# Jerusalem Analysis Seminar: "Exponential concentration of zeroes of Gaussian stationary functions" Naomi Feldheim (Weizmann Institute)

12:00pm to 1:00pm

## Location:

Ross 70
A Gaussian stationary function (GSF) is a random f: R --> R whose distribution is shift-invariant and all its finite marginals have centered multi-normal distribution. It is a simple and popular model for noise, for which the mean number of zeroes was computed already in the 1940's by Kac and Rice. However, it is far more complicated to estimate the probability of a significant deficiency or abundance in the number of zeroes in a long interval (compared to the expectation). We do so for a specific family of GSFs with additional smoothness and absolutely
2016 Nov 17

# Analysis and PDEs- A. Logunov "The zero set of a nonconstant harmonic function in R^3 has infinite area"

1:00pm to 2:00pm

## Location:

Ross 70
Abstract. We will give a sketch of the proof of the fact formulated in the title.
2017 Mar 23

# Xiaolin Zeng (TAU)

1:00pm to 2:00pm

## Location:

Ross 70
Title: a random Schroedinger operator stemming from reinforced process Abstract: We will explain the relationship between a toy model to Anderson localization, called the H^{2|2} model (according to Zirnbauer) and edge reinforced random walk. The latter is a random walk in which, at each step, the walker prefers traversing previously visited edges, with a bias proportional to the number of times the edge was traversed. Recent study on this random walk showed that it is equivalent to Zirnbauer's model and we will show some consequences once this equivalence is established.
2017 Jun 29

# Barry Simon (Caltech)

1:00pm to 2:00pm

Title: Asymptotics for Chebyshev Polynomials of Infinite Gap Sets on the Real Line Abstract: The Chebyshev Polynomials of a compact subset, e, of the complex plane are the monic polynomials minimizing the sup over e. We prove Szego--Widom asymptotics for the Chebyshev Polynomials of a compact subset of R which is regular for potential theory and obeys the Parreau--Widom and DCT conditions. We give indications why these sufficient conditions may also be necessary.
2016 Nov 03

# Analysis and PDEs - Baptiste Devyver (Technion) - "Heat kernel estimates of Schrodinger-type operators"

1:00pm to 2:00pm

## Location:

Ross 70
Let us consider the heat equation: $u_t+Lu=0$ in a domain $\Omega$. Here, $L$ will be a self-adjoint Schrodinger-type operator of the form abla^*
2017 Nov 01

# Jerusalem Analysis Seminar "When do the spectra of self-adjoint operators converge?" Siegfried Beckus (Technion)

12:00pm to 1:00pm

## Location:

Ross 63
Abstract: Given a self-adjoint bounded operator, its spectrum is a compact subset of the real numbers. The space of compact subsets of the real numbers is naturally equipped with the Hausdorff metric. Let $T$ be a topological (metric) space and $(A_t)$ be a family of self-adjoint, bounded operators. In the talk, we study the (Hölder-)continuity of the map assigning to each $t\in T$ the spectrum of the operator $A_t$.