Alvaro Martinez

Lie Superalgebras and categorification (Spring 2023)

Organized by Cailan Li and Alvaro Martinez. Please email me at alm2297@columbia.edu to join the mailing list.

Time/date: Wednesdays at 5.40pm-7.15pm ET. Due to a clash with the Informal Categorification Seminar, we will occasionally meet on Tuesdays - this will be made clear in the schedule below and announced during the previous meeting.

Location: Room 528 at the Columbia Math Department.

This is a learning seminar on superalgebras and their categorifications. The plan is to first give an overview of superalgebras and their representation theory, and then cover recent developments in the categorification program of super-stuff and related topics, as you can see in the outline below.

Outline of the seminar.

Talks will roughly be 45 minutes followed by a 5 minute break followed by 45 more minutes. Please email me at alm2297@columbia.edu if you'd like to give a talk.

Schedule

Wed Jan 25	Cailan Li Lie superalgebras: Fundamentals We introduce Lie superalgebras and explain the subtle differences with usual Lie algebras that occur in the theory. In particular, the presence of isotropic odd roots will force us to decorate the Dynkin diagrams associated with usual Lie algebras in order to adequately describe the structure of Lie superalgebras. Notes. Live notes.
Tue Jan 31 at 4.30pm	Fan Zhou Lie superalgebras: Representations TBD Notes. Live notes.