|P-adic Uniformization of Shimura Varieties|
|Time：||Wed. 10:10-12:00 and Fri. 13:00-14:50|
|Instructor：||Michael Rapoport [Mathematisches Institut der Universität Bonn]|
|Place：||Lecture Hall, Floor 3, Jin Chun Yuan West Building|
The subject of p-adic uniformization of Shimura varieties was started by Cherednik who proved that Shimura curves attached to a quaternion algebra that is ramified at p admits p-adic uniformization. Drinfeld opened up the field by giving a moduli interpretation of Cherednik’s result in a special case. Generalizations of these results are due to Rapoport/Zink, Boutot/Zink and Varshavsky. Very recently, Kudla and I added a new class of Shimura varieties to the list of cases with p-adic uniformization. I will explain the basic principles behind these results.
Algebraic geometry, including formal schemes.
Rapoport, Zink: Period spaces for p-divisible groups, Princeton Univ. Press
Kudla, Rapoport: An alternative description of the Drinfeld p-adic halfplane, arXiv:1108.5713.