Algebra Seminar - Luuk Verhoeven (Math)
Date:
Friday, February 5, 2021
Time:
3:30 pm
Location:
Virtual via Zoom
Cost:
Free
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Speaker: Luuk Verhoeven (Western University)
Title: A brief introduction to KK-theory
Abstract:
Kasparov's KK-theory is a very interesting theory with various applications, such as extensions of C∗
-algebras and the Novikov conjecture. We will discuss the basic definitions of KK-theory and see how it allows us to recover various properties of K-theory and K-homology such as Bott periodicity, as well as a nice formulation of the Atiyah-Singer index theorem. If time permits, I will also briefly discuss my own interest in KK-theory via the unbounded picture.
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