Canonical Basis Learning Seminar -- Canonical Basis Learning Seminar

The goal of this seminar is to study the answers to the following questions about
irreducible representations of semisimple Lie algebras and related structures: 

 How can we compute their characters? 

 How can we compute tensor product decompositions? 

 What are "canonical bases" for these modules? 

The canonical basis (Lusztig) or crystal basis (Kashiwara), a powerful tool introduced
in the early 1990s, provides a model to answer these questions.  

First, we will learn about prototypical constructions that serve as motivation.  Then,
we will study the construction and properties of these modern bases, beginning with
Lusztig's approach and concluding with Kashiwara's approach.  

Connor Simpson will give a brief overview of the seminar in the first lecture, after
which Tom Goertzen will teach us about the Kazhdan-Lusztig basis.  The first talk of the
seminar will take place on March 4th from 10-12 in the SMRI Seminar Room (Macleay
Building A12, Room 301).  

Talks will be given by willing participants and/or experts in the field.  There will
also be an exercise session on the same day as the lectures.  Everyone is welcome.
Please share this with potential participants.  

Where: SMRI Seminar Room (Macleay Building, Room A12-301) 

When: Wednesdays, 10-12 (lecture); Wednesdays, 13-14 (exercise session) 

Organized by Tom Goertzen, Tao Qin, and Connor Simpson.  For more details, visit the
website: https://sites.google.com/view/canonicalbases/start?authuser=1.  

Contact the organizers with any questions or to join the mailing list.