ncku-talk2023-05-18

Colloquium

DATE 2023-05-18　16:10-17:00

PLACE 數學系館 1F3174教室

SPEAKER 潘戍衍教授（國立清華大學數學系）

TITLE Finite Theta Correspondence, Unipotent Support and Orbit Correspondence

ABSTRACT For a finite reductive dual pair of a symplectic group and an orthogonal group, the theta correspondence establishes an important relation between the irreducible representations of these two groups. On the other hand, we also have the orbit correspondence between the unipotent classes of these two groups. In this talk, we would like to discuss a nice relation between these two correspondences. More precisely, we show that if two irreducible representations are paired by the theta correspondence, then the unipotent supports of their Alvis-Curtis duals are paired by the orbit correspondence.

Colloquium

DATE	2023-05-18　16:10-17:00

PLACE	數學系館 1F3174教室

SPEAKER	潘戍衍教授（國立清華大學數學系）

TITLE	Finite Theta Correspondence, Unipotent Support and Orbit Correspondence

ABSTRACT	For a finite reductive dual pair of a symplectic group and an orthogonal group, the theta correspondence establishes an important relation between the irreducible representations of these two groups. On the other hand, we also have the orbit correspondence between the unipotent classes of these two groups. In this talk, we would like to discuss a nice relation between these two correspondences. More precisely, we show that if two irreducible representations are paired by the theta correspondence, then the unipotent supports of their Alvis-Curtis duals are paired by the orbit correspondence.