Thu, 02 May 2024
16:00
L4

TBC

Dr Anna Aksamit
(University of Sydney)
Further Information

Please join us for reshments outside the lecture room from 1530.

Tue, 08 Nov 2022

15:30 - 16:30
L6

Gaussian multiplicative chaos measures, Painlevé equations, and conformal blocks

Harini Desiraju
(University of Sydney)
Abstract

Conformal blocks appear in several areas of mathematical physics from random geometry to black hole physics. A probabilistic notion of conformal blocks using gaussian multiplicative chaos measures was recently formulated by Promit Ghosal, Guillaume Remy, Xin Sun, Yi Sun (arxiv:2003.03802). In this talk, I will show that the semiclassical limit of the probabilistic conformal blocks recovers a special case of the elliptic form of Painlevé VI equation, thereby proving a conjecture by Zamolodchikov. This talk is based on an upcoming paper with Promit Ghosal and Andrei Prokhorov.

Fri, 10 Jun 2022

14:00 - 15:00
Online

Smith–Treumann theory and the categorical conjecture

Joshua Ciappara
(University of Sydney)
Further Information

This seminar will be at the normal time of 2pm, this is a change from previous announcements!

Abstract

In the early 2010s, Riche and Williamson proposed new character formulas for simple and indecomposable tilting modules over reductive algebraic groups $G$ in positive characteristic. Even better, they showed their formulas would follow from a conceptually satisfying "categorical conjecture", which they were able to prove for $G = GL_n$. Our first goal in this talk will be to explain the statement of the categorical conjecture, indicating its connection to representation theory and assuming minimal background knowledge. Subsequently, we will introduce Smith–Treumann theory and outline how it may be applied to prove the categorical conjecture in general. Time permitting, we will conclude with remarks on future directions of study.

Thu, 18 Jun 2015

17:00 - 18:00
L2

TheLMS Hardy Lecture: The famous inverse scattering transform method and its less famous discrete version

Prof Nalini Joshi
(University of Sydney)
Abstract

Abstract: The simplest solutions of integrable systems are special functions that have been known since the time of Newton, Gauss and Euler. These functions satisfy not only differential equations as functions of their independent variable but also difference equations as functions of their parameter(s).  We show how the inverse scattering transform method, which was invented to solve the Korteweg-de Vries equation, can be extended to its discrete version.

S.Butler and N.Joshi, An inverse scattering transform for the lattice potential KdV equation, Inverse Problems 26 (2010) 115012 (28pp)

Tue, 24 Feb 2009

17:00 - 18:00
L2

Endomorphisms of tensor space and cellular algebras

Gus Lehrer
(University of Sydney)
Abstract
I shall show how cellularity may be used to obtain presentations of the
endomorphism algebras in question, both in the classical and quantum cases.
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