Seminar for Unitary Representations and Automorphic Forms

On Monday, March 28, 2022, 16:00 hours, as part of Seminar for Unitary Representations and Automorphic Forms, Max Gurevich (Technion, Israel) will give a lecture titled:

„The Robinson-Schensted-Knuth transform for irreducible representations“.

Abstract:
The RSK algorithm gives a well-known bijection between multisets of pairs of integers and semistandard bitableaux. In a work with Erez Lapid we categorified the RSK transform, by applying it on the multisegments of the Zelevinsky classification for p-adic general linear groups, thus producing a new construction for irreducible smooth representations.
I would like to discuss how aspects of this procedure are better understood through the lens of bases in a quantum group and their quiver Hecke algebra categorification. Time permits, I will show how a curious connection between the classical tool of Bernstein-Zelevinsky
derivatives for p-adic groups and the Kashiwara crystal for quantum groups, links the RSK picture with that of cyclotomic Hecke algebra representations.

Seminar will be held via Zoom platform:

https://zoom.us/j/96816534327?pwd=d0pCQmZpVHJVQkxBbzhCODdpcVR3QT09

Meeting ID: 968 1653 4327
Passcode: 941919

All Seminar members and other interested audience are invited.