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Student Homotopy Theory Seminar

Equivariant formal group laws and their duals.
Friday, February 14, 2020
12:00-1:00 PM
3096 East Hall Map
If E is a complex-oriented spectrum, then the E-cohomology of BU(1) has the structure of a formal group law over E_ . If E = MU is the complex cobordism spectrum, then Quillen's theorem asserts that the formal group law over MU_ is the universal formal group law.

Suppose that G is a compact Lie group. If E is a complex-oriented G-spectrum, then the E-cohomology of the equivariant classifying space BU_G(1) has the structure of a G-equivariant formal group law. This is an algebraic structure that corresponds geometrically to a formal thickening of the character group of G. After reviewing the non-equivariant story, I will define G-equivariant formal group laws and give some examples. Then I will discuss the dual of a G-equivariant formal group law, which is the structure possessed by the E-homology of BU_G(1). Speaker(s): Jack Carlisle (University of Michigan)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics