Past Events

Universality in disordered systems has always played a central role in the direction of research in probability and mathematical physics, a classical example being the Gaussian universality class (the central limit theorem). In this talk, I will describe a different universality class for random…

Skein modules were introduced by Józef H. Przytycki as generalisations of the Jones and HOMFLYPT polynomial link invariants in $S^3$ to arbitrary $3$-manifolds. The Kauffman bracket skein module (KBSM) is the most extensively studied of all. However, computing the KBSM of a $3$-manifold is known…

This will be a friendly introduction to topological K-theory, algebraic K-theory, and symplectic K-theory. We'll see ways we can connect or compare them to each other by considering their geometric interpretations.

Abstract: Let K be a number field, and denote the Dedekind zeta function of K by zeta_K(s). A classical question in number theory is: when does this zeta function vanish at the critical point s=1/2? First Armitage, and then Frohlich, gave examples of number fields  which satisfy zeta_K(s)=0…

We discuss the behavior of geodesics in the continuous models of random geometry known as the Brownian map and the Brownian plane. We say that a point x is a geodesic star with m arms if x is the endpoint of m disjoint geodesics. We prove that the set of all…

(warning:  notice unusual time)

I'll deliver an overview of studies on the virtual Euler 
characteristics of the moduli spaces of semistable sheaves on a complex 
projective surface. The virtual Euler characteristic is a refinement of 
the topological…

I will briefly introduce the notion of random graphs and some of their basic properties, mostly focusing on thresholds for increasing properties. I will also introduce "Kahn-Kalai expectation threshold conjecture" and explain the motivation behind it with some examples. If time permits, we will…

Abstract: A vast array of physical phenomena, ranging from the propagation of waves to the location of quantum particles, is dictated by the behavior of Laplace eigenfunctions. Because of this, it is crucial to understand how various measures of eigenfunction concentration respond to the…

Let M be a compact 3-manifold with scalar curvature at least 1. We show that
there exists a Morse function f on M, such that every connected component of every fiber of f has genus, area and diameter bounded by a universal constant. This is a joint work with Davi Maximo.

…