Ray class groups and generalised Jacobians

by Prof. Chandrashekhar Khare (University of California at Los Angeles, USA)

Thursday 4 Oct 2012, 16:00 → 17:00 Asia/Kolkata

AG-69 (Colaba Campus)

We will extend Iwasawa's analogy between class groups in p-cyclotomic towers and Jacobians of curves to ray class groups in cyclotomic towers and generalised Jacobians, and explain how a well-known conjecture of Leopoldt about p-adic independence of units fits into this context. This is part of a joint work with Wintenberger.