Past Events

Around 1980, mathematicians developed several techniques to study the Newton polygon stratification of the moduli space of principally polarized abelian varieties in positive characteristic p.  In 2004, Faber and Van der Geer used these techniques to prove that the Torelli locus of…

There is a rich literature about how far are the classical invariants (the underlying smooth type, the rotation number and the Thurston-Bennequin invariant) from classifying Legendrian knots. In this talk we will formulate the analogous question for loops of Legendrians and discuss some possible…

In 1996, Simon Donaldson proved that in any given compact symplectic manifold, there exist infinite symplectic submanifolds of codimension 2 that are called Donaldson divisors. To do so he developed the basic tools of the asymptotically holomorphic theory. In this talk we are going to explain…

We describe pentagram maps on polygons in any dimension, which extend R. Schwartz's definition of those maps in dimension 2.  In many cases these turn out to be discrete integrable systems, while their continuous limits are given by evolving envelopes and solve equations of the Boussinesq…

Recently optimal mass transport (OMT) theory has attracted a lot of attention due to its effectiveness in a range of applications in particular machine learning. Among other things, OMT induces a natural interpolation between two probability distributions. This Wasserstein geodesic, or more…

In this talk I will present Nevanlinna-type tight bounds on the minimal possible growth of subharmonic functions with a large zero set.  We use a technique inspired by a paper of Jones and Makarov.

How many simple closed curves can you draw on the surface of genus g in such a way that no two are isotopic and no two intersect in more than k points?  It is known how to draw a collection in which the number of curves grows as a polynomial in g of degree k+1, and…

Abstract