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SUMMARY:Ulrich Pennig (Cardiff University)
DTSTART:20200511T140000Z
DTEND:20200511T150000Z
DTSTAMP:20260423T035745Z
UID:OATS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OATS/9/">Loo
 ps\, groups\, and twists - the role of K-theory in mathematical physics</a
 >\nby Ulrich Pennig (Cardiff University) as part of Online algebraic topol
 ogy seminar\n\n\nAbstract\nWhile K-theory has its origins in Grothendieck'
 s formulation and proof of his version of the Riemann-Roch theorem\, it no
 w plays a significant role in many diverse branches of mathematics: It pro
 vides a fundamental example of a cohomology theory\, and it is one of the 
 most important invariants of C*-algebras. In the first half of the talk\, 
 I will define the K-groups and discuss some of their applications. In the 
 second half\, I will concentrate on equivariant twisted K-theory\, which i
 s related to the representation theory of loop groups and the geometry of 
 two-dimensional quantum field theories by a theorem of Freed\, Hopkins\, a
 nd Teleman. I will finish with an outline of joint work with D. Evans\, in
  which we study generalizations of this work to higher twists.\n
LOCATION:https://researchseminars.org/talk/OATS/9/
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