Video Lectures

An isolated quantum many-body system may be a reservoir that thermalizes its constituents. I will explore an example of the interplay of this thermalization and spontaneous symmetry-breaking, in the ferromagnetic phase of an infinite-range quantum...

Motivated by questions in Social Choice Theory I will consider the following extremal problem in Combinatorial Geometry. Call a sequence of vectors of length n with −1, 1 entries feasible if it contains a subset whose sum is positive in more than n...

The goal of (general-purpose) program obfuscation is to make an arbitrary computer program "unintelligible" while preserving its functionality. The problem of program obfuscation is well studied both in theory and in practice. Though despite its...

The Edward T. Cone Concert Series season opened on Friday October 11 with Sight and Sound, featuring the celebrated Cassatt String Quartet. The program included a new work by Bruce Adolphe based on the life and paintings of Impressionist painter...

Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic problems. Examples include dimer...

Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic problems. Examples include dimer...

In this lecture, I will talk about moment based SDP hierarchies (which are duals of SOS relaxations for polynomial optimization) in the context of graph partitioning. The focus will be on a certain way of rounding such hierarchies, whose quality is...

In this seminar, we will discuss the recent work on the eigenvalue and eigenvector distributions of random matrices. We will discuss a dynamical approach to these problems and related open questions. We will discuss both Wigner type matrix ensembles...