As Ramadan will fall primarily within term time this year, the University Equality and Diversity Unit (EDU) has collated a list of spaces that can be available for prayer for staff and students who may be on-site in department buildings. In our case that means S0.30, at the far end of the South Side.
14:00
Nonsymmetric Shift Operators
Abstract
The well-known "Dunkl operators" associated to a finite real reflection group constitute a commutative parameter family of deformations of the directional derivatives in Euclidean space. These operators are "differential-reflection" operators. Heckman and Cherednik have defined trigonometric versions of Dunkl's operators. The interest for these operators lies in their deep ties to Macdonald polynomials and hypergeometric functions, to the Calogero-Moser quantum integrable system, and to the representation theory of Hecke algebras.
"Hypergeometric shift operators" are powerful tools to study Weyl group symmetric structures and functions in these contexts. In this talk, Eric Opdam presents a theorem of existence and uniqueness of ''nonsymmetric shift operators'' for the Dunkl operators. These are themselves differential reflection operators which "shift" the parameters of the Dunkl operators by integers by means of a "transmutation relation".
(Joint work with Valerio Toledano Laredo)
We are seeking mentors and projects for online research projects with Africa. This scheme matches mentors with master’s-level students in sub-Saharan Africa who are not currently enrolled in a PhD programme. Through a combination of research experience and skills training, the scheme aims to empower students to make competitive graduate applications in Africa and elsewhere.
Professor Nicolaos Kapouleas (Oliver Smithies Visiting Lecturer) - Proofs for soap bubbles
26 February 2026, 5.15 pm, Gillis Lecture Theatre (drinks reception in the Buttery from 6.15 pm).