Previous Conferences & Workshops

Suppose you ran a chess tournament, everybody played everybody, and you wanted to use the results to rank everybody. Unless you were really lucky, the results would not be acyclic, so you could not just sort the players by who beat whom. A natural...

We prove that Cayley graphs of SL_2(Z/qZ) are expanders with respect to the projection of any fixed elements in SL_2(Z) generating a non-elementary subgroup. This expansion property plays crucial role in establishing almost prime version of "SL_2(Z)...

In 1950, Nash showed that every non-cooperative game has an equilibrium. Before his work, the result was known only for two-player zero-sum games. While von Neumann's minimax theorem was the mathematical foundation of the two-player zero-sum game...

In a recent article, Waldspurger proved that the fundamental lemma for Lie algebras doesn't depend on the characteristic of the base field (among other things...). In this talk, I would like to explain some ideas of the proof of that result.

We will finish the sketch of the proof of existence of a geometrically meaningful compactification of the moduli space of canonically polarized smooth varieties.

All known efficient algorithms for computing the determinant of a matrix rely on commutativity of the matrix entries. How important is this property, and could we make use of an algorithm that computes determinants without assuming commutativity? In...

Characteristic classes of Flat bundles on smooth algebraic varieties are defined in various cohomology theories. We consider the de Rham cohomology, the Deligne cohomology and the rational Chow groups and study the classes. We focus on the special...