Nearly holomorphic modular forms and representations of SL(2,R)
发布时间：2015年11月10日
浏览次数：9393
发布者:
主讲人： Xiang Fan （范翔），北京大学数学科学学院
活动时间： 从 2015-11-10 00:00 到 00:00
场地： Quan 9
时间：11月10号下午4点-6点
地点：全9。
Speaker: Xiang Fan （范翔），北京大学数学科学学院.
Title: Nearly holomorphic modular forms and representations of SL(2,R)
Abstract: Following a recent note by Pitale, Saha and Schmidt, this talk will give an introduction to nearly holomorphic modular forms on the complex upper half plane. We will show how to approach to Shimura's classical structure theorem on the space of all nearly holomorphic modular forms via the representation theory of SL(2,R). This structure theorem can be deduced from a decomposition for the space of n-finite automorphic forms on SL(2,R), which is implied by a little knowledge of BGG category O.
地点：全9。
Speaker: Xiang Fan （范翔），北京大学数学科学学院.
Title: Nearly holomorphic modular forms and representations of SL(2,R)
Abstract: Following a recent note by Pitale, Saha and Schmidt, this talk will give an introduction to nearly holomorphic modular forms on the complex upper half plane. We will show how to approach to Shimura's classical structure theorem on the space of all nearly holomorphic modular forms via the representation theory of SL(2,R). This structure theorem can be deduced from a decomposition for the space of n-finite automorphic forms on SL(2,R), which is implied by a little knowledge of BGG category O.
