Dirac index and associated cycles of Harish-Chandra modules

Pavle Pandzic (U Zagreb)

Apr 15. 2022, 11:45 — 12:30

We review the construction of Dirac operators, cohomology and index for Harish-Chandra modules, as well as associated varieties and associated cycles. Then we show how, for certain Harish-Chandra modules, the polynomial giving the dimension of the Dirac index of the corresponding coherent family can be expressed as an integer linear combination of the multiplicities in the characteristic cycle. 

This is joint work with S.Mehdi, D.Vogan and R.Zierau.  

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Minimal Representations and Theta Correspondence (Workshop)
Wee Teck Gan (U of Singapore)
Marcela Hanzer (U Zagreb)
Alberto Minguez (U of Vienna)
Goran Muic (U Zagreb)
Martin Weissman (UC Santa Cruz)