Video Lectures

I will describe the notions of strong and weak epsilon nets in range spaces, and explain briefly some of their many applications in Discrete Geometry and Combinatorics, focusing on several recent results in the investigation of the extremal...

A long-standing line of work in economic theory has studied models by which a group of people in a social network, each holding a numerical opinion, can arrive at a shared opinion through repeated averaging with their neighbors in the network...

Listen to pianist Timothy Andres discuss music with Derek Bermel, Institute Artist-in-Residence.

Lecture 4: Integral Coefficients; Application to Birational Invariants

Lecture 3: Decomposition of the Small Diagonal and the Topology of Families

Lecture 2: On the Generalized Bloch and Hodge Conjectures for Complete Intersections

We consider asymptotics of the correlation functions of characteristic polynomials of the hermitian Wigner matrices $H_n=n^{-1/2}W_n$ and the hermitian sample covariance matrices $X_n=n^{-1}A_{m,n}^*A_{m,n}$. We use the integration over the...

Summary: These lectures are devoted to the interplay between cohomology and Chow groups of a complex algebraic variety, and also to the consequences, on the topology of a family of smooth projective varieties, of statements concerning Chow groups of...