Zoom, Online seminar
(線上演講 Zoom)
Some Conjectures about Kato Homology of Rationally Connected Varieties and KLT Singularities
Zhiyu Tian (BICMR-Beijing University)
Abstract:
A natural question about zero cycles on a variety defined 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.
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