**Date & Time:** Thursday, March 06, 2014, 16:00-17:00.

**Venue:** A1A2 Math Building, CDEEP

**Title:** Iwasawa theory and residual Galois representation

**Speaker:** Sudhanshu Shekhar, University of Heidelberg

**Abstract:** Non-commutative Iwasawa theory, especially the non-commutative main conjecture, predicts some congruences between *p*-adic *L*-values of two elliptic curves, ordinary at a given odd prime *p*, and having equivalent residual representations. We shall discuss the results that can be proved in this framework.

Transmission through Video Conferencing.