# Eventss

# Game theory seminar: Monotonic Norms and Orthogonal Issues in Multidimensional Voting (Benny Moldovanu)

## Location:

have preferences induced by general norms. We uncover the deep connections between dominant strategy incentive compatibility (DIC) on the one hand,

and several geometric/functional analytic concepts on the other. Our main results are:

1) Marginal medians are DIC if and only if they are calculated

with respect to coordinates defined by a basis such that the norm is orthant-monotonic in the associated coordinate system.

# Analysis Seminar: Cancelled

## Location:

Weprove eigenfunction and quasimode estimates on compact Riemannian manifolds for Schr\”odingeroperators, $H_V=-\Delta_g+V$ involving critically singular potentials $V$ which weassume tobe in $L^{n/2}$ and/or the Kato class ${\mathcal K}$. Our proof is basedon modifying the oscillatory integral/resolvent approachthat was used to study the case where $V \equiv 0$ using recently developedtechniques by many authorsto study variable coefficient analogs of the uniform Sobolev estimates ofKenig, Ruiz and the speaker. Read more about Analysis Seminar: Cancelled

# Tamar Bar-On (BIU): Profinite completion of free profinite groups

## Location:

__Abstract__: The profinite completion of a free profinite group on an infinite set of generators is a profinite group of greater rank. However, it is still unknown whether it is a free profinite group as well. I am going to present some partial results regarding this question.

# Groups & Dynamics Seminar. Maria Gerasimova (BIU) : “Isoperimetry, Littlewood functions, and unitarisability of group”

## Location:

any uniformly bounded representation π : Γ → B(H) of Γ on H there exists a bounded operator

S : H → H such that S^{−1}π(g)S is a unitary representation for any g ∈ Γ. It is well known that

amenable groups are unitarisable. It has been open ever since whether amenability characterises unitarisability of groups.

Dixmier: Are all unitarisable groups amenable?

One of the approaches to study unitarisability is related to the space of the Littlewood functions

# Special Analysis Seminar: Andrew Ahn (MIT) "Largest Singular Values of Products of \beta-Ensembles"

## Location:

Title:Largest Singular Values of Products of \beta-Ensembles

# Or Landesberg

# Special dynamics seminar: Asaf Katz (Chicago) - Measure rigidity of Anosov flows via the factorization method

## Location:

Abstract: Anosov flows are central objects in dynamics, generalizing the basic example of a geodesic flow over a Riemann surface.

In the talk we will introduce those flows and their dynamical behavior.

Moreover, we show how the factorization method, pioneered by Eskin and Mirzakhani in their groundbreaking work about measure rigidity for the moduli space of translation surfaces, can be adapted to smooth ergodic theory and in particular towards the study of Anosov flows.

# Ted Chinburg (U Penn): Using capacity theory to plug leaks

## Location:

# Logic Seminar - Jouko Vaananen

## Location:

**Jouko Vaananen**will speak about some new infinitary logics.

**On some new infinitary logics**

__Abstract:__

# Special Analysis and Mathematical Physics Seminar: Eliran Subag (Courant) "Spherical spin glass models"

## Location:

Title: Spherical spin glass models

Abstract: In the 70s, physicists proposed several models fordisordered magnetic alloys called spin glass models. Mathematically, thespherical models are random functions on the sphere in high-dimensions, andmany of the questions physicists are interested in can be phrased aspurely mathematical questions about geometric properties, extreme values,critical points, and Gibbs measures of random functions and the interplaybetween them.

# Mike Hochman (HUJI) Equidistribution for toral endomorphisms

## Location:

**Abstract:**Host proved a strengthening of Rudolph and Johnson's measure rigidity theorem: if a probability measure is invariant, ergodic and has positive entropy for the map x2 mod 1, then a.e. point equidisitrbutes under x3 mod 1. Host also proved a version for toral endomorphisms, but its hypotheses are in some ways too strong, e.g. it requires one of the maps to be expanding, so it does not apply to pairs of automorphisms. In this talk I will present an extension of Host's result (almost) to its natural generality.