Representation Theory of Hecke Algebras and Categorification

14th – 19th December 2021  Okinawa, Japan

The last decade has seen a flurry of research activity in categorification, largely driven by work of Khovanov, Lauda, and Rouquier, categorifying quantum groups by quiver Hecke algebras. In type A, these are graded lifts of cyclotomic Hecke algebras, and this fact has supplied the latter algebras with tools from graded representation theory. This starting point has on the one hand spurred on a plethora of further research in categorification, and, on the other hand, has reinvigorated the study of representations of cyclotomic Hecke algebras.

This workshop will bring together experts from both sides of this coin – those whose focus is on categorification, and those who are world-renowned experts in symmetric groups, their Hecke algebras, as well as various related families of diagrammatic algebras. The workshop format will include both invited talks and contributed talks, as well as two afternoon 'lightning sessions' for participants to give 15-minute presentations on their recent or ongoing work. This session allows for a quick introduction of a broad array of mathematical ideas to the workshop audience, as well as giving some junior attendees an opportunity to present their work.

If you would like to attend this workshop, please apply here by 15th October, 2021.

All enquiries should be directed to hecke2021@oist.jp.

Speakers

Chris Bowman, University of York, UK

Jon Brundan, University of Oregon, USA

Joe Chuang*, City, University of London, UK

Ben Elias, University of Oregon, USA

Inna Entova-Aizenbud, Ben Gurion University, Israel

Karin Erdmann, University of Oxford, UK

Matthew Fayers, Queen Mary University of London, UK

Masaki Kashiwara, RIMS, Japan and KIAS, Korea

Syu Kato, Kyoto University, Japan

Andrew Mathas, University of Sydney, Australia

Raphaël Rouquier, UCLA, USA

Peng Shan, Tsinghua University, China

Kai Meng Tan, National University of Singapore, Singapore

Michela Varagnolo, CY Cergy Paris University, France

*To be confirmed