Past Events

We continue to study Talagrand's book, "Upper and Lower Bounds for Stochastic Processes". In particular, we start Chapter 3.

We will cover the optimal transportation theorem for quadratic cost functions.

Since Szemeredi's Theorem and Furstenberg's proof thereof using ergodic theory, dynamical methods have been used to show the existence of numerous patterns in sets of positive upper density. These tools have led to uncovering new patterns that occur in any sufficiently large set of integers, but…

We will follow Lecture 7 of Mazza–Voevodsky–Weibel's Lecture notes on motivic cohomology.

We will continue our discussion of recent work of Guth and Maynard on large values of Dirichlet polynomials. 

The study of the distribution of Heegner points and closed geodesics is an important and rich subject, at the confluence of arithmetic, geometry and dynamics. In this work, we use techniques from all these areas to study the distribution of automorphic periods associated to closed geodesics on…

The simulation of all-atom molecular dynamics is limited in both length and time scales. The same difficulty applies to simulating the unitary dynamics of large, closed quantum systems. Therefore, we turn to modeling coarse-grained molecular dynamics and open quantum dynamics, using approximate…

Abstract: A topological model for a knot invariant is a realization of the invariant as graded intersection pairings on coverings of configuration spaces. In this talk I will describe a topological model for the HOMFLY-PT polynomial. I plan to discuss the motivation from previous work by…

Abstract: In this talk we will use the periodic cubic nonlinear Schrödinger equation to present some estimates of the long time dynamics of the energy spectrum, a fundamental object in the study of wave turbulence theory. Going back to Bourgain, one possible way to conduct the analysis is to…

In this talk, we will discuss the interplay between the wrapped Floer homology barcode and topological entropy. The concept of barcode entropy was introduced by Çineli, Ginzburg, and Gürel and has been shown to be related to the topological entropy of the underlying dynamical system in various…