Reciprocity maps and Selmer groups
About this item
| Description: |
Sharifi, R (Arizona)
Tuesday 28 July 2009, 11:30-12:30 |
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| Created: | 2009-07-30 10:07 | ||
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| Collection: | Non-Abelian Fundamental Groups in Arithmetic Geometry | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Sharifi, R (Arizona) | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | This talk concerns certain homomorphisms that arise in the study of Galois cohomology with restricted ramification. Given a set S of primes of a number field containing all those above a given prime p, the S-reciprocity 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 connections between this and related homomorphisms, and study their application to Selmer groups of reducible representations. Finally, we will explore 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-function, taken modulo an Eisenstein ideal. |
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