Title: Quasi-elliptic cohomology.

Speaker:郇真HUAN ZHEN（中山大学）

Time: 2018.12月22日 （4个课时）

Location: Center for Mathematical Sciences, Room 813

摘要：

Quasi-elliptic cohomology is constructed as an object both reflecting the geometric nature of elliptic curves and more practicable to study than most ellipitc cohomology theories. Quasi-elliptic cohomology is closely related to Tate K-theory. It 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 prove 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 an orthogonal G-spectrum weakly representing quasi-elliptic cohomology. This construction leads to the birth of a new global homotopy theory, almost global homotopy theory.