Topology Seminar

Title: Quasi-elliptic cohomology
Speaker: Zhen Huan
Speaker Info: University of Illinois at Urbana--Champaign
Brief Description:
Special Note:

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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