## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Quasi-elliptic cohomology

**Speaker:** Zhen Huan

**Speaker Info:** University of Illinois at Urbana--Champaign

**Brief Description:**

**Special Note**:

**Abstract:**

The elliptic cohomology associated to the Tate curve can be expressed as equivariant K-theory. I will introduce a theory Ell constructed by my advisor Charles Rezk. Its form is very similar to that of Tate K-theory but is not an elliptic cohomology, which brings its name "quasi-elliptic cohomology". Some constructions on the two theories have similar forms, such as the power operations, though some can be
interpreted more easily on the new one. I will first set up the theory and show some properties of it. After that I will show my construction of its power operations following Nora Ganter's work, and then an application using its explicit form. I will also talk about the spectra representing it up to weak equivalence and show my
construction of it. Moreover, the spectra can be "globalized" in Stefan Schwede's global homotopy theory.

**Date:** Monday, November 24, 2014

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

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