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math.RT2020
Lectures on the Geometry and Modular Representation Theory of Algebraic Groups
Joshua Ciappara, Geordie Williamson
These notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula an…
math.CO2020
Kazhdan-Lusztig polynomials and subexpressions
Nicolas Libedinsky, Geordie Williamson
We refine an idea of Deodhar, whose goal is a counting formula for Kazhdan-Lusztig polynomials. This is a consequence of a simple observation that one can use the solution of Soerg…
math.RT2020
Modular representations and reflection subgroups
Geordie Williamson
The Hecke category is at the heart of several fundamental questions in modular representation theory. We emphasise the role of the "philosophy of deformations" both as a conceptual…