Speaker
Dr
Darija Brajkovic Zoric
(School of Applied Mathematics and Informatics, Josip Juraj Strossmayer University of Osijek)
Description
There is the conjecture stating that the Aubert involution preserves unitarity. After finding the unitary dual of $p$-adic group $SO(7)$ with support on minimal parabolic subgroup, we found it intriguing to look at all the Aubert duals of all irreducible unitarizable subquotients that form that unitary dual. In doing that we confirmed the aforementioned conjecture for this case. This work is supported (in part) by the Croatian Science Foundation under the project number HRZZ-IP-2022-10-4615.
Primary author
Dr
Darija Brajkovic Zoric
(School of Applied Mathematics and Informatics, Josip Juraj Strossmayer University of Osijek)