Iwasawa theory for the symmetric square of a modular form

Joint IAS/Princeton University Number Theory Seminar
Topic:Iwasawa theory for the symmetric square of a modular form
Speaker:David Loeffler
Affiliation:University of Warwick
Date:Thursday, March 10
Time/Room:4:30pm - 5:30pm/S-101
Video Link:https://video.ias.edu/puias/2016/0310-Loeffler

Iwasawa theory is a powerful technique for understanding the link between the special values of L-functions and arithmetic objects (such as class groups of number fields, or Mordell-Weil groups of elliptic curves). In this talk I'll discuss what Iwasawa theory predicts for the symmetric square L-function attached to a modular form; and I'll describe some recent results (joint with Sarah Zerbes) confirming some of these conjectures, using the method of Euler systems.