The 3rd MSJ-SI

The Mathematical Society of Japan, Seasonal Institute

Development of Galois-Teichmüller Theory
and Anabelian Geometry

October 28 Thursday, 11:30--12:20
R. Sharifi (University of Arizona)
Investigations in the Galois cohomology of number fields
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.