Video Lectures

Most violent conflicts today are fought within states, and many are related to identity. They are, therefore, inextricably linked to how people perceive their ­history. How political leaders view and use history and historical narratives, often as...

Persistent homology is a central object of study in applied topology. It offers a flexible framework for defining invariants, called barcodes, of point cloud data and of real valued functions. Many of the key results of the last several years in the...

We will discuss the notion of loops in linguistic structures, mainly in dictionaries. In a simplified view, a dictionary is a graph that links every word (vertex) to a set of alternative words (the definition) which in turn point to further...

I will continue the exposition of different derandmization techniques for probabilistic logspace algorithms.
The material of this talk will assume only little knowledge from the first talk.

Since the foundational results of Thomason and Chung-Graham-Wilson on quasirandom graphs over 20 years ago, there has been a lot of effort by many researchers to extend the theory to hypergraphs. I will present some of this history, and then...

In 1985 Misha Gromov proved his Nonsqueezing Theorem, and hence constructed the first symplectic 1-capacity. In 1989 Helmut Hofer asked whether symplectic d-capacities exist if 1 d n. I will discuss the answer to this question and its relevance in...