On Sharifi's conjecture and generalizations

Abstract: Romyar Sharifi made beautiful explicit conjectures relating the K-theory of cyclotomic field to modular symbols modulo some Eisenstein ideal. We report on some partial results on these conjectures and their implication for Mazur's Eisenstein ideal. We also discuss some ongoing project exploring the analogue of these conjectures for Bianchi manifolds. All this is joint work with Jun Wang

Mathematics

Audience: researchers in the topic

CRM workshop: Arithmetic quotients of locally symmetric spaces and their cohomology

Series comments: Zoom registration: umontreal.zoom.us/meeting/register/tJwkfu6vpzItHtPb49yDLrPlCtLyb5kvjuYP