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SUMMARY:Alain Connes (IHES\, College de France\, Ohio State University)
DTSTART:20201008T210000Z
DTEND:20201008T220000Z
DTSTAMP:20260423T005835Z
UID:JNTS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/1/">The
  semi-local adele class space and Weil positivity</a>\nby Alain Connes (IH
 ES\, College de France\, Ohio State University) as part of Columbia CUNY N
 YU number theory seminar\n\n\nAbstract\nI will explain the results of two 
 recent papers in collaboration with Katia Consani: First on a strong inequ
 ality showing that for the single archimedean place the Weil local contrib
 ution is larger than the trace of the scaling action on the Sonin space. S
 econd showing that the products of ratios of local factors are quasi-inner
  functions (a notion that extends the usual notion of inner functions) and
  this gives the analytic prerequisites to treat the Weil positivity in the
  semi-local case using the Hilbert space framework associated to a finite 
 set of places in my selecta paper of 1998.\n
LOCATION:https://researchseminars.org/talk/JNTS/1/
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