Cycles on arithmetic varieties

Thursday, 3 December, 2020 - 16:00 - 17:00
Seminar Type: 
MATH-IMS Joint Pure Mathematics Colloquium Series
Speaker Name: 
Prof. Yifeng LIU
Yale University

In this talk, we study algebraic cycles on algebraic varieties over number fields. We introduce a series of conjectures and tools in such study proposed by Beilinson and Bloch. Then we use modular curves and more general Shimura varieties as playground to test these observations. At the end, we will introduce a recent result for unitary Shimura varieties obtained by Chao Li and myself.