and Anabelian Geometry

October 28 Thursday, 11:30--12:20 | |

R. Sharifi
(University of Arizona)
Investigations in the Galois cohomology of number fields
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We will survey a number of different results and conjectures relating to the cohomology of the Galois group of the maximal extension of a number field unramified outside of a finite set of primes. Of particular interest are the cyclotomic fields, for which there are connections between cup products of cyclotomic units and p-adic L-values of cusp forms. |