School of Mathematics Colloquium

Ray class groups and generalised Jacobians

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

Thursday, October 4, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
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.