The Ulam lectures this semester will be around Chevalley groups and generalizations. Chevalley groups were important in leading to the theory of algebraic groups and in the classification of finite groups. They are of interest to representation theorists, algebraic geometers, number theorists and other mathematicians.
Rather than give all of the lectures myself, I would like to enlist the help of the graduate student participants. In addition to the actual lectures (on Thursdays), I will also host a weekly (schedule TBD) informal working/problem session focused on finer details and working with explicit examples.
The intended audience/participants are second year graduate students, but all who are interested are welcome. We will hold an organizational meeting on Thursday, Jan 27, with the intention of determining background and interest and to schedule a time for the working sessions. If you are unable to attend in person, please email michael.woodbury@colorado.edu so that I can share a Zoom link with you.
To all faculty: If you have a specific application or generalization of Chevalley groups (such as a paper or papers) that you think your current or future grad students would benefit to learn, please share your ideas with me. I have many ideas myself, but I imagine the students that already do or may end up working with you would appreciate learning something particularly relevant to your field.
Ulam Lectures
Jan. 27, 2022 11:15am (Math …
Noncomm Geometry
Vladimir Baranovsky (UCI)
X
we plan to start with a brief overview of some results on characteristic classes of modules over deformation quantization (in the case of a symplectic algebraic variety). Then we apply these results and the Categorical Riemann-Roch formula to representation theory; bounding the number of simple finite dimensional modules over algebras which arise from studying resolutions of singular symplectic varieties.