# GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

**Topic: **Splitting of Iwasawa Modules and Leopoldt Conjecture

**Date & Time: **Wednesday October 20th, 2010, 2:15pm - 3:15pm

Let p be an odd prime number and let F be a totally real field. Let F_cyc be the cyclotomic extension of F generated by the roots of unity of order a power of p . From the maximal abelian extension of F_cyc which is unramified (resp. unramified outside auxiliary primes), we get exact sequences of Iwasawa modules. We will discuss how splitting of these exact sequences are linked to Leopoldt conjecture for F and p . (JW with C. Khare)

**Speaker: **Jean-Pierre Wintenberger

**Affiliation: **University of Strasbourg

**Location: **S-101