Rational Cherednik algebras and categorification / Ivan Losey -- Categorical actions on unipotent representations of finite classical groups / Olivier Dudas, Michela Varagnolo, Eric Vasserot -- Categorical actions and crystals / Jonathan Brundan, Nicholas Davidson -- On the 2-linearity of the free group / Anthony M. Licata -- The Blanchet-Khovanov algebras / Michael Ehrig, Catharina Stroppel, Daniel Tubbenhauer -- Generic character sheaves on groups over k[E]/(E[superscript}r) / G. Lusztig -- Integral presentations of quantum lattice Heisenberg algebras / Diego Berdeja Suárez -- Categorification at prime roots of unity and hopfological finiteness / You Qi, Joshua Sussan -- Folding with Soergel bimodules / Ben Ellias -- The p-canonical basis for Hecke algebras / Lars Thors Jensen, Geordie Williamson
Summary
The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras
