Presented By: Department of Mathematics
Student Homotopy Theory Seminar
Complex oriented equivariant cohomology
Some of our favorite cohomology theories, such as integral cohomology, complex K-theory, and complex cobordism are "complex oriented", meaning that they have a nice notion of the chern class of a line bundle. Associated to any complex oriented cohomology theory E is a formal group law over the coefficients of E, and investigating the relationship between such cohomology theories and their associated formal group laws has been a central topic in algebraic topology since the work of Quillen in the 1960s. In this talk, I will discuss complex oriented cohomology theories and their associated formal group laws, and the universal example MU. After this, I will define complex orientability for equivariant cohomology theories, and survey some known results about their associated equivariant formal group laws. Speaker(s): Jack Carlisle (University of Michigan)
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