Ramified class field theory and its application

by Dr Rahul Gupta (University of Regensburg, Germany)

Thursday 22 Sept 2022, 16:00 → 17:00 Asia/Kolkata

AG-66

Abstract: The main aim of this field is to study the abelianized etale fundamental group of a quasi-projective variety in terms of a cycle-theoretic group. In this talk, we shall discuss the ramified class field theory of smooth quasi-projective varieties over finite fields. The main focus of the talk will be to use this theory to prove the failure of Nisnevich descent for the Chow groups with modulus. The talk will be based on joint works with Prof. Amalendu Krishna.