Sponsored by
[ Events ]

Activity Search
Sort out
NCTS Number Theory Seminar
13:30 - 14:30, March 9, 2023 (Thursday)
broadcast in Lecture Room B, 4th Floor, The 3rd General Building, NTHU, Online seminar
(線上演講 於清大綜合三館Lecture Room B直播/收播)
Almost Holomorphic Drinfeld Modular Forms
Oguz Gezmis (Heidelberg University)


In 1970s, Shimura initiated the study of a non-holomorphic operator, the Maass-Shimura operator, which led him to define the notion of almost holomorphic modular forms. He later discovered their role on constructing class fields as well as the connection with periods of CM elliptic curves. In this talk, our first goal is to introduce their positive characteristic counterpart, almost holomorphic Drinfeld modular forms. We further relate them to Drinfeld quasi-modular forms which leads us to generalize the work of Bosser and Pellarin to a certain extend. Moreover, we introduce the Maass-Shimura operator in our setting for any nonnegative integer and investigate the relation between the periods of CM Drinfeld modules and the values at CM points of arithmetic Drinfeld modular forms under the image of  .  If time permits, we also reveal how to construct class fields using such values. This is a joint work with Yen-Tsung Chen.
Meeting number (access code): 2514 624 0412
Meeting password: r74nXqPpjV2


back to list  
 (C) 2021 National Center for Theoretical Sciences