ncku-talk2007-04-12

NCKU Math colloquium

DATE 2007-04-12　16:10-17:00

PLACE 數學館地下室演講廳

SPEAKER 潘戍衍(Shu-Yen, Pan)（National Tsing Hua University）

TITLE Local Theta Correspondence and L-functoriality

ABSTRACT Let $(U(V),U(V'))$ be a reductive dual pair of unitary groups. The preservation principle of local theta correspondence predicts the existence of a chain of irreducible supercuspidal representations of the unitary groups $U(V)$ or $U(V')$. Adams/Harris-Kudla-Sweet have a conjecture about the Langlands parameters for these supercuspidal representations.
In this talk we want to show that their conjecture holds when these supercuspidal representations are unipotent (in the sense of Lusztig).

NCKU Math colloquium

DATE	2007-04-12　16:10-17:00

PLACE	數學館地下室演講廳

SPEAKER	潘戍衍(Shu-Yen, Pan)（National Tsing Hua University）

TITLE	Local Theta Correspondence and L-functoriality

ABSTRACT	Let $(U(V),U(V'))$ be a reductive dual pair of unitary groups. The preservation principle of local theta correspondence predicts the existence of a chain of irreducible supercuspidal representations of the unitary groups $U(V)$ or $U(V')$. Adams/Harris-Kudla-Sweet have a conjecture about the Langlands parameters for these supercuspidal representations. In this talk we want to show that their conjecture holds when these supercuspidal representations are unipotent (in the sense of Lusztig).