학과 세미나 및 콜로퀴엄

구분 학과 세미나/콜로퀴엄
분류 정수론
제목 An extension of converse theorems to the Selberg class
Abstract The converse theorem for automorphic forms has a long history beginning with the work of Hecke (1936) and a work of Weil (1967): relating the automorphy relations satisfied by classical modular forms to analytic properties of their L-functions and the L-functions twisted by Dirichlet characters. The classical converse theorems were reformulated and generalised in the setting of automorphic representations for GL(2) by Jacquet and Langlands (1970). Since then, the converse theorem has been a cornerstone of the theory of automorphic representations. Venkatesh (2002), in his thesis, gave new proof of the classical converse theorem for modular forms of level 1 in the context of Langlands’ “Beyond Endoscopy”. In this talk, we extend Venkatesh’s proof of the converse theorem to forms of arbitrary levels and characters with the gamma factors of the Selberg class type. This is joint work with Andrew R. Booker and Michael Farmer.
일시 2023-01-06 (Fri) / 14:00 ~ 15:00 ** 날짜에 유의하세요. **
장소 자연과학동 1401호
강연언어 한국어 (필요한 경우 영어 가능) ( )
강연자성명 Min Lee
강연자소속 University of Bristol
강연자홈페이지
기타정보
초청인 Bo-Hae Im
URL
담당자
연락처