# Upcoming Events

Kronheimer and Mrowka defined an invariant J^# of spatial cubic graphs (really bifolds) and foams. They also defined a version with twisted coefficients. When the graph is planar, the rank of the twisted invariant is the number of Tait colorings. We show that in this case, the …

Accelerated Information Gradient flow

Abstract: We present a systematic framework for the Nesterov's accelerated gradient flows in the spaces of probabilities embedded with information metrics. Here two metrics are considered, including both the Fisher-Rao metric and the Wasserstein-2…

Statistical inference in population genetics heavily relies on coalescent models and have been successfully applied for the last 20 years. However, these models are not readily portable to understanding cell evolution and cancer tumor evolution. In this talk, I will present an overview of…

The question of ‘quantum ergodicity’ is to understand how the ergodic properties of a classical dynamical system are translated into spectral properties of the associated quantum dynamics. This question appears already in a 1917 paper by Einstein written. It took on its…

The Hilbert scheme parameterizing n points on a K3 surface X is a holomorphic symplectic manifold with rich properties. In the 90s it was discovered that the generating function for the Euler characteristics of the Hilbert schemes is related to both modular forms and the enumerative geometry of…

A Richardson variety is an intersection of two Schubert varieties defined by transverse flags in a vector space. Richardson varieties have many nice geometric properties; for example, a theorem of Knutson, Woo, and Yong shows that their singularities are completely determined by those of…