Previous Conferences & Workshops

In this talk, I will describe a variant of the category of derived rings that we call the category of synthetic $E_{\infty}$-rings. The category of derived rings may be viewed as the derived category of the category of discrete commutative rings...

Machine learning is transforming mathematical discovery, enabling advances on longstanding open problems. In this talk, I will discuss AlphaEvolve, a general-purpose evolutionary coding agent that uses large language models to autonomously discover...

In this talk, I will explore the fascinating landscape of assumptions in quantum cryptography—especially, how little we need to assume to build secure quantum protocols. We will cover key cryptographic primitives including quantum encryption...

Remarkable martensitic microstructures are observed in the alloy  $Ti_{76}Nb_{22}Al_{2}$ , which undergoes a cubic to orthorhombic transformation with six martensitic variants $\mathbf U_i=\mathbf U_i^T>0$ having middle eigenvalue $\lambda_2(\mathbf...

Inspired by the Erdos--Renyi model for random graphs, Linial and Meshulam devised in 2006 a model for random 2-dimensional simplicial complexes. The goal of this talk (and the next) is to present some nice results about the behavior of these random...

This talk is concerned with solutions of the 3D incompressible Navier-Stokes equations that are bounded in a critical space. From small initial data, these solutions are known to be globally well-posed due to classical work of Fujita-Kato and others...

A cohomology class of the group GL_n(Q_p) gives rise to a characteristic class of Q_p-local systems on algebraic varieties or topological spaces. It turns out that all rational primitive cohomology classes (in degrees >1) give vanishing...

The compressible Euler equation can lead to the emergence of shock discontinuities in finite time, notably observed behind supersonic planes. A very natural way to justify these singularities involves studying solutions as inviscid limits of Navier...