Quasi-elliptic cohomology

讲座时间 Datetime: 

星期五, 2018/01/12 - 从 16:00 到 17:30

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

郇真 博士

单位 Affiliation: 

中山大学数学学院

报告摘要 Abstract: 

Quasi-elliptic cohomology is closely related to Tate K-theory, which is the generalized elliptic cohomology associate to Tate curve. Quasi-elliptic cohomology can be interpreted by orbifold loop spaces and expressed in terms of equivariant K-theories. We formulate the complete power operation of this theory. Applying that we proved the finite subgroups of Tate curve can be classified by the Tate K-theory of symmetric groups modulo a certain transfer ideal. Moreover, we construct a G-orthogonal spectra weakly representing quasi-elliptic cohomology. Unfortunately, our construction does not arise from a global spectra; thus,  we consider a new formulation of global stable homotopy theory that contains quasi-elliptic cohomology.