2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Aubert involution on the unitary dual of SO(7) supported on the minimal parabolic subgroup

Not scheduled
20m
Osijek

Osijek

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek, Trg Ljudevita Gaja 6, Osijek Faculty of Economics, J. J. Strossmayer University of Osijek , Trg Ljudevita Gaja 7, Osijek
Talk RT: Representation theory

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)

Presentation materials

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