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SUMMARY:Quid of Index and K-theory?
DTSTART:20240117T170000Z
DTEND:20240117T180000Z
DTSTAMP:20240420T033400Z
UID:indico-event-11324@indico.math.cnrs.fr
DESCRIPTION:Speakers: Florian Thiry\n\nThe following K-quid seminar will b
e motivated by the Atiyah-Singer index theorem. We will not discuss the me
aning of each term appearing in the statement. Our purpose will be to use
this theorem to introduce the index as a link between operator theory and
geometry.First we will define the index of a Fredholm operator and we will
enounce some of its properties which make it interesting. Then we will br
iefly introduce the K-theory of C*-algebras and how this theory provide a
new framework to compute indices more efficiently.Eventually we will deter
mine a "pre Atiyah-Singer theorem" in an easier case where every quantity
is computable.\n\nhttps://indico.math.cnrs.fr/event/11324/
LOCATION:Room Picard (1R2-129)
URL:https://indico.math.cnrs.fr/event/11324/
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