Past Events

A striking phenomenon in probability theory is universality, where different probabilistic models produce the same large-scale or long-time limits. One example is the Kardar-Parisi-Zhang (KPZ) universality class, which encompasses a wide range of natural models such as growth processes modeling…

TBD.

Abstract:   In a recent machine learning based study, He, Lee, Oliver, and Pozdnyakov observed a striking oscillating pattern in the average value of the P-th Frobenius trace of elliptic curves of prescribed rank and conductor in an interval range. Sutherland discovered that this…

Inkscape is a free and open-source vector graphics editor, utilizing the standardized Scalable Vector Graphics (SVG) file format as its main format. 

In this talk, we will explore its power in crafting mathematical illustrations. Join us to delve into the fundamentals of Inkscape as…

Abstract: We prove the convergence in distribution of the empirical law of the eigenvalues of a Wigner matrix to the semicircle distribution. This is a classical result dating to the founding of the subject. The proof is by the moment method - specifically the convergence of the random…

Given a compact Riemann surface, nonabelian Hodge theory relates topological and algebro-geometric objects associated to it. Specifically, complex representations of the fundamental group are in correspondence with algebraic vector bundles, equipped with an extra structure called a Higgs field.…

Expander graphs are perhaps one of the most widely useful classes of graphs ever considered. In this talk, we will focus on a fairly weak notion of expanders called sublinear expanders, first introduced by Komlós and Szemerédi around 30 years ago. They have found…

To what extent we need linearity in Banach spaces, in particular in embedding questions, is a hot topic .

In mathematics/theoretical computer science popularized By Bourgain, Pisier, Naor.

One of unsolved (since 1978) problems in this program (called Ribe’s program) was a problem of…

Abstract

The study of the distribution of primes in short intervals can be traced back to the time of Gauss. In 1973, Goldston and Montgomery computed the variance under the Riemann hypothesis and the strong pair correlation conjecture. In 2004, assuming the prime k-tuple conjecture, Montgomery and…