WEEKLY ACTIVITIES

Some conjectures about Kato homology of rationally connected varieties and KLT singularities
Speaker: Zhiyu Tian (BICMR-Beijing University)

Time: 14h00, Friday, May 28, 2021

Session Chair: Prof. Baohua Fu(MCM)

Join Zoom Meeting:

ZOOM ID466 356 2952

Passwordmcm1234

https://zoom.com.cn/j/4663562952?pwd=MytDVU9tUlg5LzFHNHRHZmFMZ0JaUT09

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.

For general information of the AGEA seminar, please check out

https://sites.google.com/ncts.ntu.edu.tw/agea-seminar

or the mirror site

http://www.math.ntu.edu.tw/~jkchen/agea-seminar.html

or the webpage on MCM

http://www.mcm.ac.cn/events/seminars/202102/t20210205_625406.html

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