Przemyslaw Chojecki

Title: Overconvergent modular forms and perfectoid Shimura curves

Abstract: 
We show a new approach to overconvergent modular forms and overconvergent 
Eichler-Shimura map which uses crucially the recent work of Scholze on 
perfectoid Shimura varieties. This gives a non-archimedean analogue 
of 'cz+d' approach to classical modular forms. This is a joint work 
with David Hansen (Columbia) and Christian Johansson (IAS).