School of Mathematics Colloquium

Ramified class field theory and its application

by Dr. Rahul Gupta (University of Regensburg, Germany)

Thursday, September 22, 2022 from to (Asia/Kolkata)
at 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.