Video Lectures

Interacting Brownian motions in the Kadar-Parisi-Zhang universality class

November 18, 2013

A widely studied model from statistical physics consists of many (one-dimensional) Brownian motions interacting through a pair potential. The large scale behavior of this model has has been investigated by Varadhan, Yau, and others in the 90's. As a...

video lecture

Efficient reasoning in PAC semantics

November 18, 2013

Brendan Juba

Machine learning is often employed as one step in a larger application, serving to perform information extraction or data mining for example. The rules obtained by such learning are then used as inputs to a further analysis. As a consequence of the...

video lecture

Science Talk for Families - The Smallest Particles

November 16, 2013

Robbert Dijkgraaf

One of the most amazing things we discovered in science is that everything is made of small particles. It's the properties of these molecules, atoms, nuclei, and elementary particles that allow us to answer simple questions like: why is grass green...

video lecture

Friends Culture and Cuisine

November 15, 2013

Paul Freedman

video lecture

Calabi-Yau mirror symmetry: from categories to curve-counts

November 15, 2013

Tim Perutz

I will report on joint work with Nick Sheridan concerning structural aspects of mirror symmetry for Calabi-Yau manifolds. We show (i) that Kontsevich's homological mirror symmetry (HMS) conjecture is a consequence of a fragment of the same...

video lecture

Independence of \(\ell\) and local terms

November 14, 2013

Martin Olsson

Let \(k\) be an algebraically closed field and let \(c:C\rightarrow X\times X\) be a correspondence. Let \(\ell \) be a prime invertible in \(k\) and let \(K\in D^b_c(X, \overline {\mathbb Q}_\ell )\) be a complex. An action of \(c\) on \(K\) is by...

video lecture

Rethinking Barbarian Invasions through Genomic History

November 13, 2013

Patrick Geary

Historians have debated for centuries the magnitude, nature, and impact of population movements from the borders of the Roman Empire into its heart between the fourth and seventh centuries. In recent years, geneticists have begun to attempt to...

video lecture

A spectral gap in \(SL^2(R)\) and applications

November 13, 2013

Jean Bourgain

video lecture

Covariance Matrix Estimation for the Cryo-EM Heterogeneity Problem

November 12, 2013

Singer, Amit

In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of randomly-oriented copies of a molecule. The cryo-EM problem is to use the resulting set of noisy 2D projection images taken at unknown directions to reconstruct...

video lecture

Hypermatrix Algebra, their spectral decomposition and applications

November 12, 2013

Edinah Gnang

In this talk we will present an overview of the hypermatrix generalization of matrix algebra proposed by Mesner and Bhattacharya in 1990. We will discuss a spectral theorem for hypermatrices deduced from this algebra as well as connections with...