Previous Conferences & Workshops

The Fontaine-Mazur conjecture (proved by Kisin and Emerton) says that (under certain technical hypotheses) a Galois representation $\rho:Gal_Q\rightarrow GL_2(\overline{Q}_p)$ is modular if it is unramified outside finitely many places and de Rham...

In 1971, Martin Gardner proposed a deceptively simple problem about 'kissing cubes' in his Mathematical Games column in the Scientific American, and more than three decades later it is still unsolved. In this talk I will introduce the problem, the...

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 $\mathbf{C}$ of complex numbers by the field $\mathbf{Q}_{p}$ of $p$-adic rational numbers (or some extension...

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:

1. An efficient algorithm to privately compute a...