Zhiyu Tian:Some conjectures about Kato homology of rationally connected varieties and KLT singularit

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Zhiyu Tian ，BICMR-Beijing University
Inviter:
Title:	Some conjectures about Kato homology of rationally connected varieties and KLT singularities
Time & Venue:	2021.05.28 15:00-16:00 Zoom ID: 466 356 2952 Password: mcm1234
Abstract:	A natural question about zero cycles on a variety defied over an arithmetically interesting field is the injectivity/surjectivity of the cycle class map. This leads to the study of a Gersten type complex defined by Bloch-Ogus and Kato. I will present some conjectures about this complex for rationally connected varieties and Kawamata log terminal (KLT) singularities. I will also present some evidence for the conjectures, and explain how they fit into a variety of conjectures about the stability phenomenon observed in topology and number theory.