ncku-talk2015-05-14

NCKU Math Colloquium / RCTS Seminar

DATE 2015-05-14　16:10-17:00

PLACE 數學系3174

SPEAKER 粘珠鳳副教授（成大數學系）

TITLE A Finite Field Analogue of Jacquets's Conjecture on Local Converse Problem

ABSTRACT Abstract The Local Converse Problem is to determine how the family of the local gamma factors \gamma (s, π × τ, ψ) characterizes the isomorphism class of an irreducible generic representation π of GL(n, F ), with F a p-adic field, where τ runs through all irreducible generic representations of GL(r, F ) and r runs through positive integers. The Jacquet conjecture asserts that it is enough to take r = 1, . . . ,[n/2]. This talk is about the proof for the finite field analogue of Jacquets's conjecture on local converse problem, which can be modified to answer the original problem over p-adic fields in some special cases .

NCKU Math Colloquium / RCTS Seminar

DATE	2015-05-14　16:10-17:00

PLACE	數學系3174

SPEAKER	粘珠鳳副教授（成大數學系）

TITLE	A Finite Field Analogue of Jacquets's Conjecture on Local Converse Problem

ABSTRACT	Abstract The Local Converse Problem is to determine how the family of the local gamma factors \gamma (s, π × τ, ψ) characterizes the isomorphism class of an irreducible generic representation π of GL(n, F ), with F a p-adic field, where τ runs through all irreducible generic representations of GL(r, F ) and r runs through positive integers. The Jacquet conjecture asserts that it is enough to take r = 1, . . . ,[n/2]. This talk is about the proof for the finite field analogue of Jacquets's conjecture on local converse problem, which can be modified to answer the original problem over p-adic fields in some special cases .