Upcoming Events
The Stochastic Heat Flow (SHF) emerges as the scaling limit of directed polymers in random environments and the noise-mollified stochastic heat equation, specifically at the critical dimension of two and near the critical temperature. I will present an axiomatic formulation of the SHF as well as…
Hindman's conjecture states that for any finite coloring of the integers, there exist natural numbers x and y such that x, y, x+y, xy all have the same color. This conjecture remains open, with its difficulty stemming from the challenge of controlling arithmetic structures that simultaneously…
This is a Zoom watch party for Deligne's lecture at Harvard on the Hodge Conjecture.
Title: What is the Hodge conjecture?
Abstract: The Hodge conjecture is about projective non-singular complex algebraic varieties. It characterizes the…
In the past decades, we have witnessed rapid development in the construction of minimal surfaces with controlled topology by Simon-Smith min-max theory. In this talk, I'll discuss the existence of a number of genus 2 minimal surfaces in a 3-sphere with a positive-Ricci-curved metric. This…
I will discuss some combinatorics questions that arise in quantum error-correction, specifically in understanding the limits of quantum codes under the practical constraint of locality. I'll discuss known results and open questions. No quantum computing background will be assumed.
Abstract: Many physical systems with chaotic microscopic dynamics display remarkably regular macroscopic behavior. For example, gases made of many interacting particles are well described, at large scales, by familiar hydrodynamic equations such as those of Euler or Navier–Stokes. These systems…