Video Lectures

The Fontaine-Mazur conjecture (proved by Kisin and Emerton) says that (under certain technical hypotheses) a Galois representation ρ:GalQ→GL2(Q⎯⎯⎯⎯p)

 is modular if it is unramified outside finitely many places and de Rham at p. I will talk about...

With every bounded prism Bhatt and Scholze associated a cohomology theory of formal p-adic schemes. The prismatic cohomology comes equipped with the Nygaard filtration and the Frobenius endomorphism. The Bhatt-Scholze construction has been advanced...

Random restrictions are a powerful tool used to study the complexity of boolean functions. Various classes of boolean circuits are known to simplify under random restrictions. A prime example of this, discovered by Subbotovskaya more than 60 years...

Let K be a finite extension of Qp. The Emerton-Gee stack for GL2 is a stack of etale (phi, Gamma)-modules of rank two. Its reduced part, X, is an algebraic stack of finite type over a finite field, and can be viewed as a moduli stack of two...

Let p be a prime number. Roughly speaking, rigid analytic geometry is a counterpart of complex analysis where one replaces the field C

of complex numbers by the field Qp of p-adic rational numbers (or some extension thereof).

In this talk, I'll...

It is well known that all contact 3-manifolds can be obtained from the standard contact structure on the 3-sphere by contact surgery on a Legendrian link. Hence, an interesting and much studied question asks what properties are preserved under...

In this talk, I will present the following two connections between private optimization and statistical physics, both via the problem of approximating a given covariance matrix with a low-rank matrix:

An efficient algorithm to privately compute...