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SUMMARY:Devarshi Mukherjee (University of Goettingen)
DTSTART:20201111T113000Z
DTEND:20201111T130000Z
DTSTAMP:20260423T035814Z
UID:WOTOA/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/12/">I
 soradial embeddings and non-commutative geometry</a>\nby Devarshi Mukherje
 e (University of Goettingen) as part of Webinars on Operator Theory and Op
 erator Algebras\n\n\nAbstract\nIn this talk\, we describe a framework to s
 tudy non-commutative geometry as a relative version of differential geomet
 ry. More precisely\, given a C*-algebra A\, we would like to make sense of
  a "smooth" subalgebra $A^\\infty \\subseteq A$\, and deduce properties ab
 out A using such a subalgebra.  Such a smooth subalgebra should be analogo
 us to the Frechet algebra $C^\\infty(M) \\subseteq C(M)$ for a smooth mani
 fold M\, in the world of commutative C*-algebras.  We shall review the fun
 damental properties and applications of such embeddings\, called $\\textit
 {isoradial embeddings}$\, due to Ralf Meyer. If time permits\, I will ment
 ion an ongoing research program with Meyer\, Corti\\~nas and Cuntz\, that 
 uses such embeddings to develop noncommutative geometry over finite fields
 .  \n\nI will not assume that the audience has any background beyond famil
 iar examples of C*-algebras. A lot of the motivation would however be clea
 rer to those familiar with cyclic homology or operator algebraic K-theory.
 \n
LOCATION:https://researchseminars.org/talk/WOTOA/12/
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