The upcoming CART seminar is scheduled for June 20th (Fri), 10:30 - 11:30 (Korea time).

Speaker: Donggun Lee (Institute for Basic Science, CCG, Korea)

Venue: KIAS 1424 (hybrid, zoom link below)

Title: Geometry of regular semisimple Lusztig varieties

Abstract: Lusztig varieties were introduced in the study of character sheaves and related representation theory. They can be seen as variants of both Schubert varieties and Hessenberg varieties. For example, they admit a Weyl group action on their intersection cohomology through monodromy, and their singularities can be resolved via Bott-Samelson-type resolutions. 

I will present results on their geometry, including vanishing theorems for the cohomology of line bundles, their relations to Hessenberg varieties, and diffeomorphism types. Along the way, we also establish that their open cells are affine, and that the same is true for Deligne-Lusztig varieties, settling a question that has been open since the foundational paper of Deligne and Lusztig. 

Some of the results were motivated by our forthcoming study of the representations via a trace map of the Hecke algebra. Based on joint works with Patrick Brosnan and Jaehyun Hong.

You can also join the seminar via the following

Zoom link: https://us06web.zoom.us/j/81089968347?pwd=9eJFqalwC62aTBdEp4kVG305ifl0gH.1

Meeting ID: 810 8996 8347

Password: 799885

Please feel free to forward this to anyone who might be interested. You can check out further information on CART seminar on our website (https://sites.google.com/view/cart-kias/).

Looking forward to seeing you at the seminar!

Best regards,

Jaeseong Oh