Previous Conferences & Workshops

Schubert varieties are known to be Frobenius split in positive characteristic by the work of Mehta and Ramanathan. More recently, Bhatt showed that the full flag variety for $GL_n$ is a splinter by entirely different methods. In this talk, we will...

The fundamental group $\pi_1(X)$ is an important invariant of a complex algebraic variety X.  Despite its topological nature, it is closely connected to the geometry of many algebraic structures on X.  In this talk I want to discuss two elementary...

Hurwitz moduli spaces of covers of curves of degree d are classical and well studied objects if one assumes that d! is invertible and hence no wild ramification phenomena occur. There were very few attempts to study the wild case. In the most...

In this talk, I will focus on simultaneous non-vanishing results for Dirichlet L-functions at the central point 1/2. Specifically, I will describe non-vanishing results (conditional on GRH) for two L-functions associated to Dirichlet characters in...

Many geometric spaces carry natural collections of special submanifolds that encode their internal symmetries. Examples include abelian varieties and their sub-abelian varieties, locally symmetric spaces with their totally geodesic subspaces, period...

I will start with an interesting symmetry of plane quadrilaterals and see what mathematics we can reach within 20 minutes.   Also I will explain the title.

Harmonic functions on groups are connected to many properties of the groups: algebraic, geometric, analytic, and probabilistic.
For some groups (or spaces), it can be a challenge even to determine whether harmonic functions of certain types—such as...

The geodesic flow (for the hyperbolic metric) of an infinite Riemann surface is ergodic if and only if Brownian motion is recurrent, which is also equivalent to the divergence of the Poincaré series. Surfaces with ergodic geodesic flows are most...

Ricci solitons are the self-similar solutions to the Ricci flow, which is the heat equation for Riemannian metrics, and they model singularity formation. We survey various estimates for Ricci solitons in dimension 4. This is mainly the work of...