Geometry and Topology Seminars——Quasi-elliptic cohomology
主 题: Geometry and Topology Seminars——Quasi-elliptic cohomology
报告人: Zhen Huan (Sun Yat-sen University)
时 间: 2017-11-30 14:30-16:30
地 点: Room 1114, Sciences Building No. 1
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.