Video Lectures

video lecture

On symplectomorphism groups of some Milnor fibres

November 07, 2016

Ailsa Keating

Agenda: http://www.ias.edu/math/files/wam/whmsagenda_7.pdf

video lecture

On the Gamma conjecture associated with toric flips

November 07, 2016

Hiroshi Iritani

Agenda: http://www.ias.edu/math/files/wam/whmsagenda_7.pdf

video lecture

Non-unique games over compact groups and orientation estimation in cryo-EM

November 07, 2016

Amit Singer

Let $G$ be a compact group and let $f_{ij}\in L_2(G)$ be bandlimited functions. We define the Non-Unique Games (NUG) problem as finding $g_1\ldots,g_n\in G$ to minimize $\sum_{i,j=1}^n f_{ij}(g_i g_j^{-1})$. We devise a relaxation of the NUG problem...

video lecture

Counting Galois representations

November 04, 2016

Frank Calegari

One of the main ideas that comes up in the proof of Fermat's Last Theorem is a way of "counting" 2-dimensional Galois representations over $\mathbb Q$ with certain prescribed properties. We discuss the problem of counting other types of Galois...

video lecture

Riemann-Hilbert correspondence revisited

November 02, 2016

Yan Soibelman

Conventional Riemann-Hilbert correspondence relates the category of holonomic $D$-modules (de Rham side) with the category of constructible sheaves (Betti side). I am going to reconsider this relationship from the point of view of deformation...

video lecture

Lagrangian Whitney sphere links

November 01, 2016

Ivan Smith

Let $n > 1$. Given two maps of an $n$-dimensional sphere into Euclidean $2n$-space with disjoint images, there is a $\mathbb Z/2$ valued linking number given by the homotopy class of the corresponding Gauss map. We prove, under some restrictions on...

video lecture

Chemistry of Protoplanetary Disks and Nascent Planets

November 01, 2016

Karin Öberg

Exo-planets are common, and they span a large range of compositions.The origins of this compositional diversity are largely unconstrained. Among planets that are Earth-like, a second question is how often such planets form hospitable to life. A...

video lecture

Settling the complexity of computing approximate two-player Nash equilibria

November 01, 2016

Aviad Rubinstein

We prove that there exists a constant $\epsilon > 0$ such that, assuming the Exponential Time Hypothesis for PPAD, computing an $\epsilon$-approximate Nash equilibrium in a two-player ($n \times n$) game requires quasi-polynomial time, $n^{\log^{1-o...

video lecture

Reciprocity laws for torsion classes

October 31, 2016

Ana Caraiani

The law of quadratic reciprocity and the celebrated connection between modular forms and elliptic curves over $\mathbb Q$ are both examples of reciprocity laws. Constructing new reciprocity laws is one of the goals of the Langlands program, which is...

video lecture

Communication complexity of approximate Nash equilibria

October 31, 2016

Aviad Rubinstein

For a constant $\epsilon$, we prove a $\mathrm{poly}(N)$ lower bound on the communication complexity of $\epsilon$-Nash equilibrium in two-player $N \times N$ games. For $n$-player binary-action games we prove an $\exp(n)$ lower bound for the...