Arithmetic Properties of Special Cycles on Unitary Shimura Varieties
Date
Wednesday, May 10, 2017 13:45 - 15:45
Speaker
Dimitar Jetchev (École polytechnique fédérale de Lausanne)
Location
Seminar room Big Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Tamas Hausel
Contact
Url
We discuss recent results on the arithmetic properties of special cycles on unitary Shimura varieties. We explain how these results lead to certain norm-compatibility relations similar to the relations satisfied by classical cyclotomic units and Heegner points, thus leading to a higher-dimensional construction of an Euler system. The latter is useful in the study of the higher-dimensional analogues of the Birch and Swinnerton-Dyer conjecture and its links to the Langlands program.