If E is a complex-oriented spectrum, then the E-cohomology of BU(1) has the structure of a formal group law over E_

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)

*. 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 |
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Event Type: | Workshop / Seminar |

Tags: | Mathematics |

Source: | Happening @ Michigan from Department of Mathematics |