NCKU Math Colloquium / RCTS Seminar DATE 2015-05-14¡@16:10-17:00 PLACE ¼Æ¾Ç¨t3174 SPEAKER Öß¯]»ñ °Æ±Ð±Â¡]¦¨¤j¼Æ¾Ç¨t¡^ 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, £k ¡Ñ £n, £r) characterizes the isomorphism class of an irreducible generic representation £k of GL(n, F ), with F a p-adic field, where £n 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 .