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SUMMARY:Euler Systems from Special Cycles on Unitary Shimura Varieties and
  Arithmetic Applications
DTSTART:20141015T151500
DTEND:20141015T161500
DTSTAMP:20260924T045304Z
UID:78c3f75b469b0a7a214b5836e000585a832c73e16538c6acf0951d9f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Dimitar Jetchev - EPFL\nAbstract: We construct a new Eul
 er system from a collection of special 1-cycles on certain Shimura 3-folds
  associated to U(2\,1) x U(1\,1) and appearing in the context of the Gan--
 Gross--Prasad conjectures. We study and compare the action of the Hecke al
 gebra and the Galois group on these cycles via distribution relations and 
 congruence relations obtain adelically using Bruhat--Tits theory for the c
 orresponding buildings. If time permits\, we  explain some potential arit
 hmetic applications in the context of Selmer groups and the Bloch--Kato co
 njectures for Galois representations associated to automorphic forms on un
 itary groups.
LOCATION:Room MA 30 http://plan.epfl.ch/?lang=fr&room=MA30
STATUS:CONFIRMED
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