Past Events

Let \(p\) be a prime number. For each positive integer \(k\geq 2\), it is widely believed that the smallest prime that is a k-th power residue modulo p should be \(O(p^{\epsilon})\), for any \(\epsilon>0\). Elliott proved that such a prime is at most...

Abstract: In order to prove the existence of a ground state (a positive, radially symmetric solution in the energy space), we develop the shooting method and deal with a one-parameter family of classical solutions to an initial-value problem for the...

Abstract : Co-differential categories are additive symmetric monoidal categories where you can differentiate certain kind of morphisms with the help of a combination of a monad, monoids and a deriving transformation. Recently, J.-S. Pacaud Lemay...

For a finite-type surface , we study a preferred basis for the commutative algebra of regular functions on the -character variety, introduced by Sikora-Westbury. These basis elements come from the trace functions associated to certain tri-valent...

Models become notably more complex when stochasticity is introduced. One of the best ways to add frustrating amounts of randomness to your model: incorporate humans. In this talk, I discuss three different ways in which humans have made things messy...

I will discuss several geometric constraints of the finite-time blowup of smooth solutions of the Navier-Stokes equation in the regularity criteria related to the eigenvalue structure of the strain matrix and to the vorticity direction. These...

TBA

For negatively curved Riemannian manifolds, various natural geometric quantities grow exponentially quickly: the volume of a ball in the universal cover; the number of "distinguishable" geodesics of a given length; the number of closed geodesics with...

During different phases of the COVID-19 pandemic, real-time delivery of reliable and comprehensive information is critical to predict its spread and impacts, and to guide governmental policies and best practice. Artificial Intelligence (AI) and big...