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SUMMARY:Reciprocity maps and Selmer groups - Sharifi\, R (Arizona)
DTSTART:20090728T103000Z
DTEND:20090728T113000Z
UID:TALK19271@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This talk concerns certain homomorphisms that arise in the stu
 dy of Galois cohomology with restricted ramification. Given a set S of pri
 mes of a number field containing all those above a given prime p\, the S-r
 eciprocity map is a homomorphism on S-units that interpolates values of a 
 cup product with those S-units. We will discuss the properties of and conn
 ections between this and related homomorphisms\, and study their applicati
 on to Selmer groups of reducible representations. Finally\, we will explor
 e a connection with a conjecture of the author on the relationship between
  these maps for cyclotomic fields and a modular two-variable p-adic L-func
 tion\, taken modulo an Eisenstein ideal.
LOCATION:Seminar Room 1\, Newton Institute
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