Future subjects

For archival purposes, the potential future subjects of the Kleine seminar are collected here.

Crystal Bases

The goal of this future semester of the seminar would be to go finish the recent book by Daniel Bump and Anne Schilling, Crystal Bases. Representations and Combinatorics. MAA's review, zbMATH's review

Finishing Humphreys

Finish Chapter 8 of Humphreys's book on category $\mathcal{O}$ and maybe seek to do a bit in the remaining chapters.

Soergel bimodules

Soergel bimodules are important objects in representation theory in the landscape for the last twenty years. Recently a book on the subject was published: Introduction to Soergel bimodules. The book contains lectures by Elias, Makisumi, Thiel and Williamson written by attendants.

Yangians and classical Lie algebras

Study the 2007 book by Molev

Dirac operators in Representation Theory

To follow Huang's and Pandzic's book on their proof of Vogan's conjecture on Dirac cohomology titled Dirac operators in Representation Theory.

Contact

If you have inquiries about the Kleine seminar, the easiest would be to contact me with the information below, but contacting any other member is also a valid strategy!