University of Ottawa
When
Where
Title: On a folklore conjecture in Iwasawa theory with non-equal characteristic
Abstract: Classical Iwasawa theory explores how arithmetic objects behave in infinite towers of field extensions, typically focusing on the p-primary components of objects such as ideal class groups and Selmer groups over extensions built using the same prime p, for example, those generated by p-power roots of unity. But what happens when the primes differ? Can we describe the p-primary structure over extensions constructed using another prime q? Washington and Sinnott answered this question for class groups. In the case of elliptic curves, a folklore conjecture predicts the behavior of their L-values in this non-equal characteristic setting. In this talk, I will present recent joint work with Debanjana Kundu that makes partial progress toward resolving this conjecture.