Minicourses of the session "Lie Theory and Representation Theory"

course: Representations of Lie superalgebras Minicourse of the session "Lie Theory and Representation Theory"

speaker: Vera Serganova (University of California, Berkeley)

abstract: The goal of this minicourse is to review recent results in representation theory of finite-dimensional Lie superalgebras.

Lecture 1 Finite-dimensional Lie superalgebras: classification, examples, highest weight theory, first results about characters.

Lecture 2 Center of universal enveloping superalgebras. Blocks in the category of finite-dimensional representations and category O Stein-Gelfand-Gelfand reciprocity. Weight diagrams.

Lecture 3 Algebraic supergroups. Geometric methods: Borel-Weil-Bott theory, associated variety and odd nilpotent cone.

Lecture 4 Schur-Weyl duality for dierent classical superalgebras. Deligne's theorem and relation with tensor categories.

Lecture 5 Categorification of Fock space via translation functors for superalgebras. Kazhdan-Lusztig-Brundan conjecture for category O in supercase.

timetable:
Tue 20 Jan, 10:00 - 12:00, Aula Dini
Thu 22 Jan, 10:00 - 12:00, Aula Dini
Mon 26 Jan, 14:00 - 16:00, Aula Dini
Wed 28 Jan, 14:00 - 16:00, Aula Dini
Tue 3 Feb, 10:00 - 12:00, Aula Dini
Thu 5 Feb, 14:00 - 16:00, Aula Dini
<< Go back