Past Events

Recently Xiuxiong Chen and Jingrui Cheng have made a breakthrough on the existence of constant scalar curvature metrics on compact Kahler metrics, in view of Calabi-Donaldson program and Yau-Tian-Donaldson conjecture. The essential new input is a...

Take the n by n box in the square lattice and fill it with integers where the integers on adjacent vertices only differ by +1 or -1. How large can a typical value be? We prove that the variance at a point blows up like log n which in particular...

Microbial communities play major roles in human health and disease and dominate global biochemi­cal cycles. Many proper­ties of these communities emerge from interactions between its mem­ber species and cannot be understood based on the properties of...

A Smith inequality refers to a rank inequality between the homology of a space with a G action and the homology of its fixed set. In the case of G = Z/2, I will discuss an analog of this statement for the Knot Floer homology of periodic knots...

TBA

For my work supporting Bifrost, a programming environment built for visual effects artists, I am seeking a good “default” preconditioner for solving linear systems or accelerating nonlinear solvers in problems arising in physics simulation and...

Previously, in this seminar series, we have heard about explicit bounds on the sum of values of the von Mangoldt function Lambda(n) (for n x). The point of lift-off for bounding this sum is the explicit formula, which pulls the zeros of the Riemann...

Standard Young tableaux are fundamental in combinatorics, representation theory, and geometry. In this talk, we will define these objects and discuss some of their remarkable properties. In particular, we will discuss the connection between the major...

Geoff plans to talk about the transition from proliferation to differentiation, which is work following up on the paper that his group recently published in Current Biology. See: https://phys.org/news/2018-08-secrets.html

Algebraic K-theory is an invariant defined on categories that records how object in the category are related by exact sequences --- it is a homotopical version of the classical Euler characteristic. However, there are many categories of interest that...