Video Lectures

Normal functions and the geometry of moduli spaces of curves

January 13, 2015

Richard Hain

In this talk, I will begin by recalling the classification of normal functions over $\mathcal M_{g,n}$, the moduli space of $n$-pointed smooth projective curves of genus $g$. I'll then explain how they can be used to resolve a question of Eliashberg...

video lecture

Incorporating Post-Newtonian Effects in N-body Dynamics

December 16, 2014

Clifford Will

The increasing role of general relativity in the dynamics of stellar systems with central massive black holes, in the generation of extreme mass-ratio inspirals, and in the evolution of hierarchical triple systems inspires a close examination of how...

video lecture

Some algebro-geometric aspects of limiting mixed Hodge structure

December 16, 2014

Phillip Griffiths

This will be an expository talk, mostly drawn from the literature and with emphasis on the several parameter case of degenerating families of algebraic varieties.

video lecture

The law of Aboav--Weaire and extensions

December 10, 2014

Richard Ehrenborg

In two-dimensional grain structure, one observes that grains with a small number of sides tend to be surrounded by grains with a large number of sides, and vice-versa. The Law of Aboav--Weaire gives this observation a mathematical formulation, that...

video lecture

Topological similarity of random cell complexes, and applications

December 10, 2014

Benjamin Schweinhart

Although random cell complexes occur throughout the physical sciences, there does not appear to be a standard way to quantify their statistical similarities and differences. I'll introduce the notions of a 'swatch' and a 'cloth', which provide a...

video lecture

Beyond linear algebra

December 10, 2014

Bernd Sturmfels

video lecture

The Andre-Oort conjecture II

December 10, 2014

Bruno Klingler

The Andre-Oort conjecture describes the expected distribution of special points on Shimura varieties (typically: the distribution in the moduli space of principally polarized Abelian varieties of points corresponding to Abelian varieties with...

video lecture

Dark Matter Dynamics

December 09, 2014

Tom Abel

http://www.ias.edu/sns/~seminar/colloquia.shtml

video lecture

A support theorem for the Hitchin fibration

December 09, 2014

Pierre-Henri Chaudouard

The main tool in Ngô's proof of the Langlands-Shelstad fundamental lemma, is a theorem on the support of the relative cohomology of the elliptic part of the Hitchin fibration. For $\mathrm{GL}(n)$ and a divisor of degree $> 2g-2$, the theorem says...

video lecture

More on sum-of-squares proofs for planted clique

December 09, 2014

Avi Wigderson

While this talk is a continuation of the one I gave on Tue Nov 25, it will be planned as an independent one. I will not assume knowledge from that talk, and will reintroduce that is needed. (That first lecture gave plenty of background material, and...