Categorical and Geometric Representation Theory


07/08/2023 - 11/08/2023


Chris Bowman (York)
Iain Gordon (Edinburgh)
Radha Kessar (City)
Neil Saunders (Greenwich)
Lewis Topley (Bath)


LMS Bath Symposium on Categorical and Geometric Representation Theory
The past ten years have been some of the most exciting and fruitful years in the history of representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field - these might manifest themselves as algebraic or geometric structures, or even diagrammatic categories. These richer structures provide us with new intuition and new lines of attack on long-standing open problems. The purpose of this workshop is to bring together experts in this field, we are also hosting a complementetary summer school for early career researchers.


Summer school (02 – 04 August 2023)

A three-day intensive summer school, covering both general and specialised topics in geometric and algebraic categorification at a level appropriate for early-career researchers. In order to ensure the success of the summer school, our daily structure will consist of four 1-hour lectures, followed by problem-class and research incubator sessions. The speakers will be Ben Elias (Oregon), Peng Shan (Tsinghua) and Olivier Dudas (Paris VIII). If you would like to apply to attend the summer school then please contact Chris Bowman, Lewis Topley or Neil Saunders.  The summer school website can be viewed here.

Chris Bowman (York)

Chris' research is focused on the connections between combinatorics, Lie theory, knot theory, and categorical representation theory. He spends a lot of time thinking about symmetric groups, complex reflection groups and their Cherednik algebras, Kronecker coefficients, p-Kazhdan—Lusztig polynomials, and anti-spherical Hecke categories.

Iain Gordon (Edinburgh)

Ian is Professor of Mathematics and Head of School of the School of Mathematics at the University of Edinburgh. He is interested in representation theory and its applications and is a member of the Edinburgh Hodge Institute, the collective of algebraists, geometers, number theorists and topologists at the University of Edinburgh.

Radha Kessar (City)

Radha is known for her research in the representation theory of finite groups.

Neil Saunders (Greenwich)

Neil works in the field of algebra, specifically group theory and geometric representation theory. His PhD was in the theory of finite groups: the specific problem being finding the smallest degree symmetric group that an arbitrarily given finite group embeds in; and how this invariant behaves under group theoretic constructions. This is a classical problem in finite group theory having both computational and theoretical consequences.

In recent years, Neil’s research has focused on geometric and combinatorial aspects of representation theory. His work here has revolved around the Springer Correspondence, which provides a bijection between geometric data of an algebraic group acting on its nilpotent cone and the irreducible representations of the Weyl group of that algebraic group. Some consequences of this correspondence are that one may catalogue irreducible components of Springer fibres by means of (bi)tableaux and explicitly describe their geometry. This has applications in combinatorial representation theory and diagrammatic algebra.

Lewis Topley (Bath)

Lewis is a Reader and UKRI Future Leaders Fellow at the University of Bath. His research interests include:

  • Ordinary and modular representation theory of Lie algebras and algebraic groups;
  • Finite and affine W-algebras;
  • Yangians in positive characteristics;
  • Poisson algebras and deformation theory.
  • Mon