BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jim Tao 🇳🇴 (Norwegian University of Science and Technology)
DTSTART:20200429T190000Z
DTEND:20200429T200000Z
DTSTAMP:20260420T052529Z
UID:NYC-NCG/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/3/">
 A twisted local index formula for curved noncommutative two tori</a>\nby J
 im Tao 🇳🇴 (Norwegian University of Science and Technology) as part o
 f Noncommutative geometry in NYC\n\n\nAbstract\nWe consider the Dirac oper
 ator of a general metric in the \ncanonical conformal class on the noncomm
 utative two torus\, \ntwisted by an idempotent (representing the $K$-theor
 y class \nof a general noncommutative vector bundle)\, and derive a local 
 \nformula for the Fredholm index of the twisted Dirac operator. Our \nappr
 oach is based on the McKean-Singer index formula\, and \nexplicit heat exp
 ansion calculations by making use of Connes' \npseudodifferential calculus
 . As a technical tool\, a new rearrangement \nlemma is proved to handle ch
 allenges posed by the noncommutativity of \nthe algebra and the presence o
 f an idempotent in the calculations in addition \nto a conformal factor. T
 his is joint work with Farzad Fathizadeh and Franz Luef.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/3/
END:VEVENT
END:VCALENDAR