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SUMMARY:Coefficients for commutative K-theory - Simon Gritschacher (Univer
 sity of Oxford)
DTSTART:20170331T103000Z
DTEND:20170331T113000Z
UID:TALK71727@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Recently\, the study of representation spaces has led to the d
 efinition of a new cohomology theory\, called commutative K-theory. This t
 heory is a refinement of classical topological K-theory. It is defined usi
 ng vector bundles whose transition functions commute with each other whene
 ver they are simultaneously defined. I will begin the talk by discussing s
 ome general properties of the &bdquo\;classifying space for commutativity 
 in a Lie group&ldquo\; introduced by Adem-Gomez. Specialising to the unita
 ry groups\, I will then show that the spectrum&nbsp\;for commutative compl
 ex K-theory is precisely the ku-group ring of infinite complex projective 
 space. Finally\, I will present some results about the real variant of com
 mutative K-theory.
LOCATION:Seminar Room 1\, Newton Institute
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