Video Lectures

Low-lying, fundamental, reciprocal geodesics

March 24, 2016

Markoff numbers give rise to extremely low-lying reciprocal geodesics on the modular surface, but it is unknown whether infinitely many of these are fundamental, that is, the corresponding binary quadratic form has fundamental discriminant. In joint...

video lecture

Slowly converging pseudo-Anosovs

March 22, 2016

Mark Bell

A classical property of pseudo-Anosov mapping classes is that they act on the space of projective measured laminations with north-south dynamics. This means that under iteration of such a mapping class, laminations converge exponentially quickly...

video lecture

The Resolution proof system

March 22, 2016

Avi Wigderson

The Resolution proof system is perhaps the simplest and most universally used in verification system and automated theorem proving. It was introduced by Davis and Putnam in 1960. The study of its efficiency, both in terms of proof length of natural...

video lecture

An introduction to the abc conjecture

March 21, 2016

Héctor Pastén Vásquez

In this talk I will discuss some classical and new applications of the abc conjecture, its relation to conjectures about elliptic curves, and some (admittedly weak) unconditional partial results.

video lecture

Polynomial-time tensor decompositions via sum-of-squares

March 21, 2016

Tengyu Ma

Tensor decompositions have been the key algorithmic components in provable learning of a wide range of hidden variable models such as topic models, Gaussian mixture models, independent component analysis, dictionary learning. Despite its success...

video lecture

A talk given by Kevin Zraly and Gary Alan Fine

March 18, 2016

Kevin Zraly and Gary Alan Fine

Gary Fine and Kevin Zraly Talk

video lecture

Counting closed orbits of Anosov flows in free homotopy classes

March 18, 2016

Sergio Fenley

This is joint work with Thomas Barthelme of Penn State University. There are Anosov and pseudo-Anosov flows so that some orbits are freely homotopic to infinitely many other orbits. An Anosov flow is $R$-covered if either the stable or unstable...

video lecture

Weyl groups, and their generalizations, in enumerative geometry III

March 17, 2016

Andrei Okounkov

These lectures will be about enumerative K-theory of curves (and more general 1-dimensional sheaves) in algebraic threefolds. In the first lecture, we will set up the enumerative problem and survey what we know and what we conjecture about it. In...

video lecture

Ordinary Light

March 16, 2016

Tracey K. Smith

Hailed for her "extraordinary range and ambition" by the New York Times, Tracey K. Smith will read from her recently published memoir Ordinary Light and her Pulitzer Prize–winning poetry collection Life on Mars.

Called "Transcendent ... deceptively...

video lecture

Weyl groups, and their generalizations in, enumerative geometry II

March 16, 2016

Andrei Okounkov