Past Events
We review the rudiments of a diophantinetheory of affine Markoff cubics. These enjoy an action ofthe mapping class group on p-adic integral points thanks to their realization as the character varietyof the once punctured torus. This provides a powerful tool making them one of the few…
The determination of the unitary dual of a Lie group is a longstanding problem. In this talk I will explain how the unitarity of a representation of a real reductive group can be read off from its Hodge filtration establishing a conjecture made by Wilfried Schmid and myself a while back. This is…
The Riemannian Penrose inequality is a fundamental result in mathematical relativity. It has been a long-standing conjecture of G. Huisken that an analogous result should hold in the context of extrinsic geometry. In this talk, I will present recent joint work with M. Eichmair that…
We will follow Lecture 9 of Mazza–Voevodsky–Weibel's Lecture notes on motivic cohomology.
We will continue our discussion of recent work of Guth and Maynard on large values of Dirichlet polynomials.
In this talk we will introduce the ANTEDB, an ongoing project that aims to collect and systematize relationships between certain results in analytic number theory, such as exponential sum bounds, zero density estimates and large value theorems. Such results sometimes depend on each other…
We consider conditional McKean-Vlasov processes that arise in the study of hydrodynamic limits of interacting diffusions on random regular graphs. We establish an H-theorem that characterizes the long-time behavior of these processes. Specifically, we show that a certain function related to the…
Abstract: The Khovanov skein lasagna module S(X;L) is a smooth invariant of a 4-manifold X with link L in its boundary. In this talk I will outline the construction of Khovanov skein lasagna modules, as well as new computations and applications including the …
We continue to study Talagrand's book, "Upper and Lower Bounds for Stochastic Processes". In particular, we start Chapter 3.
We will cover the optimal transportation theorem for quadratic cost functions.