School of Mathematics

Equivariant cohomology was introduced in the 1960s by Borel, and has been studied by many mathematicians since that time.  The talks will be an introduction to some of this work.  We will focus on torus-equivariant cohomology (as well as Borel-Moore...

The reverse Khovanskii-Teissier inequality is a three term inequality for nef divisors which first appeared in the context of Kähler geometry. It provides an upper bound on a product of two divisors in terms of products with the third, hence its...

Equivariant cohomology was introduced in the 1960s by Borel, and has been studied by many mathematicians since that time.  The talks will be an introduction to some of this work.  We will focus on torus-equivariant cohomology (as well as Borel-Moore...

Extremal eigenvalues of graphs are of particular interest in theoretical computer science and combinatorics. Specifically, the spectral gap—the difference between the largest and second-largest eigenvalues—measures the expansion properties of a...

This talk is about the study of the Boltzmann equation in the diffusive limit in a channel domain 𝕋2×(−1,1) nearby the 3D kinetic Couette flow.  We will begin the talk with a substantial introduction for non-experts.  Our result demonstrates that...

The growth of an autonomous Hamiltonian flow in Hofer's metric is not yet well understood. A result of Polterovich and Rosen shows that generically this growth is asymptotically linear, and in all known cases where it is not, it appears to be...

Error correcting codes are objects designed to withstand errors that may arise during communication. Originally intended for practical use, codes have come to be established as one of the central objects of study in theoretical computer science, due...

We will present two results in complex geometry: (1) A Kähler compactification of ℂn with a smooth divisor complement must be ℙn, which confirms a conjecture of Brenton and Morrow under the Kähler assumption; (2) Any complete asymptotically conical...

The construction by Mikhalkin of a non-planar tropical cubic curve in R^3 of genus 1 marked a significant breakthrough in the study of combinatorial tropical varieties. It was the first known example of a non-realizable tropical variety, with the...

The conjecture in combinatorics that has received perhaps the most attention over the last 50 years is McMullen's g-conjecture. It provides a complete characterisation of the number of i-dimensional faces in a triangulation of an (d−1)-dimensional...