报告题目：Level structures and Morava E-theories
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.