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(Jan. 17) Integral Hodge and Tate conjectures

Last updated :2020-01-16

Topic: Integral Hodge and Tate conjectures
Speaker: Associate Professor Zhiyu Tian
(Beijing International Center for Mathematical Research)
Host: Professor HU Jianxun
Time: 10:00-11:00, Friday, January 17, 2020
Venue: Room 416, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
Hodge conjecture and the analogous Tate conjecture, characterise the image of the cycle class map in rational cohomology. While it is known that the corresponding statements are false for integral cohomology, there has been lots of interests in recent years to understand an integral version of the conjectures. In this talk I will explain examples and counterexamples, and some techniques in understanding these questions.