On monoidal Koszul duality for the Hecke category

Makisumi, Shotaro

doi:10.15446/recolma.v53nsupl.84084

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2020

2022

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“…a character formula for irreducible modules for a connected reductive algebraic group in characteristic p. They do so by categorifying the ι involution explained in Section 7.1, the so called Koszul duality. For nice introductions to this duality see[Mak19] and [EMTW20, Section 26].…”

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confidence: 99%

IntroSurvey of representation theory

Libedinsky¹

2022

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There could be thousands of Introductions/Surveys of representation theory, given that it is an enormous field. This is just one of them, quite personal and informal. It has an increasing level of difficulty; the first part is intended for final year undergrads. We explain some basics of representation theory, notably Schur-Weyl duality and representations of the symmetric group. We then do the quantum version, introduce Kazhdan-Lusztig theory, quantum groups and their categorical versions. We then proceed to a survey of some recent advances in modular representation theory. We finish with twenty open problems and a song of despair.

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confidence: 99%