You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n
Speaker: Kaan Bilgin (Korteweg-de Vries Institute \/ University of Amsterdam)
\n\u201cThe Langlands \u2013 Kottwitz method for GSpin Shimura varieties and eigenvarieties\u201d<\/p>\n
Abstract: Given a connected reductive algebraic group G over a number field F, the global Langlands (reciprocity) conjecture roughly predicts that, there should be a correspondence between (automorphic side) the isomorphism classes of (cuspidal, cohomological) automorphic representations of G and (Galois side) the isomorphism classes of (irreducible, locally de-Rham) Galois representations for Gal(bar{F} \/ F) taking values in the Langlands dual group of G.<\/p>\n
In the first part of this talk, I will sketch the main argument of our expected theorem\/proof for (automorphic to Galois) direction of this conjecture, for G = GSpin(n,2), n odd and F to be totally real, under 3 technical assumptions (for time being), namely we assume that automorphic representations are additionally \u201cnon-CM\u201d and \u201cnon-endoscopic\u201d and \u201cstd-regular\u201d.<\/p>\n
In the second part, mainly following works of Loeffler and Chenevier on overconvergent p-adic automorphic forms, I will present an idea to remove the std-regular assumption on the theorem via the theory of eigenvarieties.<\/p>\n
Date: 15 March 2024, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to\u00a0sertoz@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Kaan Bilgin (Korteweg-de Vries Institute \/ University of Amsterdam) \u201cThe Langlands \u2013 Kottwitz method for GSpin Shimura varieties and eigenvarieties\u201d Abstract: Given a connected reductive algebraic group G over a number field F, the global Langlands (reciprocity) conjecture roughly [\u2026] <\/p>\n