On the Equivariant Tamagawa Number Conjecture for Artin Motives

Dr. Rusiru Gambheera
2026-09-18 14:00-15:00
MCM110

Speaker: Dr. Rusiru Gambheera (MCM, CAS)

Title: On the Equivariant Tamagawa Number Conjecture for Artin Motives

Time: 14:00-15:00 September 18, 2026 (Friday)

Inviter: Prof. Xin Wan (MCM, CAS)

Place: MCM 110 & Online (Zoom ID: 3329836068 Password: mcm1234)

Abstract: I will give a brief account of joint work with Cristian Popescu on the minus part of the Equivariant Tamagawa Number Conjecture (ETNC) for Artin motives with abelian coefficients. The ETNC is a vast generalization of the analytic class number formula, subsuming a wide range of conjectures that relate special values of Artin L-functions to fundamental arithmetic invariants such as class groups and regulators in an equivariant framework. If time permits I will explain how Iwasawa theoretic methods can be used to establish the minus part of the conjecture in this setting.