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SUMMARY:Jintao Deng (SUNY at Buffalo)
DTSTART:20250513T130000Z
DTEND:20250513T150000Z
DTSTAMP:20260423T041008Z
UID:WienGAGT/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/45/
 ">Higher index theory and the large-scale geometry</a>\nby Jintao Deng (SU
 NY at Buffalo) as part of Vienna Geometry and Analysis on Groups Seminar\n
 \n\nAbstract\nThe Novikov conjecture is an important problem in geometry a
 nd topology\, asserting the higher signatures of compact oriented smooth m
 anifolds are invariant under orientation-preserving homotopy equivalences.
  It has inspired a lot of beautiful mathematics\, including the developmen
 t of Kasparov’s KK-theory\, Connes’ cyclic cohomology theory\, Gromov-
 Connes-Moscovici theory of almost flat bundles\, Connes-Higson’s E-theor
 y\, and quantitative operator K-theory. Recent breakthroughs\, such as the
  works of Connes\, Kasparov\, Higson\, Yu and others\, have extended its v
 alidity to a large class of groups using techniques from geometric group t
 heory\, operator algebras\, and index theory. \n\nTo date\, the Novikov co
 njecture has been verified for a wide range of cases of groups with "good"
  large scale geometry including amenability\, Yu's Property A\, and coarse
 ly embeddability into Hilbert space. In the first part of the talk\, I wil
 l introduce key concepts in the large-scale geometry. In the second part\,
  I will discuss the definition of the Novikov conjecture\, and the latest 
 progress in this area.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/45/
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