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Speaker:
Jose Manuel Gomez Guerra
Affiliation:
U Nacional de Colombia/MPIM
Date:
Thu, 30/07/2015 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
MPI-Oberseminar I this talk I will introduce a new generalized cohomology theory called Commutative K-theory. This theory is defined transitionally commutative vector bundles. I will start the talk by introducing the space of commuting elements in a Lie group G and discuss a few simple examples. Then I will show how those spaces can be assembled together obtain a space that is called the classifying space for commutativity in G and how these spaces classify precisely transitionally commutative vector bundles. After that I will introduce commutative K-theory and discuss some general properties. This is a joint work with Alejandro Adem, John Lind and Ulrike Tillmann.
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