### Shimura operators and interpolation polynomials

- Series
- Algebra Seminar
- Time
- Monday, September 30, 2024 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Songhao Zhu – Georgia Tech

This talk starts at 1pm rather than the usual time.

The late Goro Shimura proposed a question regarding certain invariant differential operators on a Hermitian symmetric space. This was answered by Sahi and Zhang by showing that the Harish-Chandra images of these namesake operators are specializations of Okounkov's BC-symmetric interpolation polynomials. We prove, in the super setting, that the Harish-Chandra images of super Shimura operators are specializations of certain BC-supersymmetric interpolation polynomials due to Sergeev and Veselov. Similar questions include the Capelli eigenvalue problems which are generalized to the quantum and/or super settings. This talk is based a joint work with Siddhartha Sahi.