Prairie Mathematics Colloquium

Location: Live Stream with Meet & Greet starting at 12:45 p.m.

Speaker: Debanjana Kundu, University of Regina

Title: Recent Developments in Non-Equal Characteristic Iwasawa Theory

Zoom Link:  https://usask-ca.zoom.us/j/98831013245?pwd=MxPVdbOWAH1jcYlsaHubCA2u1IfgC2.1

Abstract:

Iwasawa theory traditionally explores how arithmetic objects (like ideal class groups and Selmer groups) grow in infinite towers of number fields. Historically, this research has focused on the p-primary parts of these objects within extensions built from the same prime p, such as those generated by p-power roots of unity.

But what happens when these primes are different? Can we decipher the p-primary structure over extensions constructed using an entirely different prime q? In this talk, we will review classical foundations and highlight recent work in this mixed-prime setting. Additionally, we will explore new developments surrounding a lesser-known folklore conjecture.

See:  Prairie Mathematics Colloquium

This event is supported by PIMS.