12-23【郇 真】五教5305 吴文俊数学重点实验室代数学系列报告之159

发布者:万宏艳发布时间:2019-12-22浏览次数:998

报告题目:Level structures and Morava E-theories
报告人:郇真,华中科技大学
 
时间:2019年12月23日(周一)16:00-17:00
地点:东区第五教学楼5305教室
 
摘要: It is a historical problem how elliptic cohomology can classify the geometric structures on the corresponding elliptic curve. Strickland proved that the Morava E-theory of the symmetric group modulo a certain transfer ideal classifies the power subgroups of its formal group. Stapleton proved this result for generalized Morava E-theory via transchromatic character theory. And Huan proved that the subgroups of the Tate curve can be classified in the same way using quasi-elliptic cohomology. In this talk we show Strickland's theorem is also true for the classification of the level structures of generalized Morava E-theory via Hopkins-Kuhn-Ravenel character theory. This result gives further indications that Strickland's result holds for elliptic cohomology theories. This is joint work with Nathaniel Stapleton.

 
 
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