# Combinatorial representation theory and diagrammatic categorification

# LMS Research School 2024

8th - 12th July 2024

University of York

Mini-courses will be given in ENV/005 in the Environment and Geography department.

The speakers are

Maud De Visscher ("Diagrammatic Kazhdan-Lusztig theory")

Rob Muth ("Quiver Hecke algebras and RoCK blocks of symmetric groups")

Dani Tubbenhauer* ("Analytic theory of monoidal categories").

And plenary talks will be given by:

This summer school will serve as an introduction to the recent advances in Lie theory made possible using geometric and categorical ideas. There will be a five-day conference in York the following week, for which registration is separate and details can be found here.

Registration is now closed.

There will be a conference fee of £150 for students and £250 otherwise. The conference fee will cover all your accommodation expenses as well as breakfasts. We also hope to be able to make some contribution toward the travel expenses of attendees. If you have any questions, do not hesitate to contact one of the organisers:

Chris Bowman, Jonathan Gruber, Amit Hazi

Additional Reading for Analytic theory of monoidal categories

P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik. Tensor categories, volume 205 of Mathematical Surveys and

Monographs. American Mathematical Society, Providence, RI, 2015. doi:10.1090/surv/205.

S.R. Finch. Mathematical Constants. Part of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2023.

P. Flajolet and R. Sedgewick. Analytic combinatorics. Cambridge University Press, Cambridge,

2009. doi:10.1017/CBO9780511801655.

B.P. Kitchens. Symbolic dynamics. Universitext. Springer-Verlag, Berlin, 1998. One-sided, two-sided and countable

state Markov shifts. doi:10.1007/978-3-642-58822-8.

Lectures will take place in ENV/005 lecture room in the Environment building.