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:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
DE ANTONI Jessica
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.