Video Lectures

Computing a categorical Gromov-Witten invariant

April 13, 2017

Andrei Căldăraru

In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a cyclic A-inifinity algebra or category. Applying his construction...

video lecture

Congruences between motives and congruences between values of $L$-functions

April 13, 2017

Olivier Fouquet

If two motives are congruent, is it the case that the special values of their respective $L$-functions are congruent? More precisely, can the formula predicting special values of motivic $L$-functions be interpolated in $p$-adic families of motives...

video lecture

Contact non-squeezing in $\mathbb R^{2n} \times S^1$ by other means

April 13, 2017

Maia Fraser

In this talk, following right after Chiu's, I will summarize two other tools capable of detecting the non-squeezing property of pre-quantized balls in $\mathbb R^{2n} \times S^1$. One of these is a $\mathbb Z_k$-equivariant version of contact...

video lecture

Sheaves and contact non-squeezing in $\mathbb R^{2n} \times S^1$

April 13, 2017

Sheng-Fu Chiu

In this talk I will introduce a way to associate a triangulated category of sheaves with a domain of $\mathbb R^{2n} \times S^1$. The cohomological information on the category side helps to detect the contact non-squeezing property of the domain on...

video lecture

Algebraic proofs of degenerations of Hodge-de Rham complexes

April 12, 2017

Andrei Căldăraru

In the first half of the talk I shall present a new algebraic proof of a result of Deligne-Illusie about the degeneration of the Hodge-de Rham spectral sequence. The idea is to reduce the main technical point of their proof to a question about the...

video lecture

Soliton resolution for energy critical wave and wave map equations

April 12, 2017

Hao Jia

It is widely believed that the generic dynamics of nonlinear dispersive equations in the whole space is described by solitary waves and linear dispersions. More precisely, over large times, solutions tend to de-couple into solitary waves plus...

video lecture

Mirror symmetry for moduli of flat bundles and non-abelian Hodge theory

April 12, 2017

Tony Pantev

I will discuss a construction of the homological mirror correspondence on algebraic integrable systems arising as moduli of flat bundles on curves. The focus will be on non-abelian Hodge theory as a tool for implementing hyper Kaehler rotations of...

video lecture

Noncommutative probability for computer scientists

April 11, 2017

Adam Marcus

I will give an introduction to computational techniques in noncommutative probability for people (like myself) that are less interested in the details of the theory and more interested using results in the theory to help understand the behavior of...

video lecture

In pursuit of obfuscation

April 10, 2017

Allison Bishop

This talk will survey some recent advances in research on program obfuscation, an area of theoretical cryptography that has seen unprecedented levels of activity over the last four years. We will cover material starting from the basics, and no prior...

video lecture

Two rigid algebras and a heat kernel

April 07, 2017

Amitai Zernik

Consider the Fukaya A8 algebra $E$ of $RP^{2m}$ in $CP^{2m}$ (with bulk and equivariant deformations, over the Novikov ring). On the one hand, elementary algebraic considerations show that E admis a rigid cyclic minimal model, whose structure...