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SUMMARY:Higher height paining and extensions of mixed Hodge structures. - 
 Jose Burgos Gil (ICMAT)
DTSTART:20200226T111500Z
DTEND:20200226T121500Z
UID:TALK140212@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The height pairing between algebraic cycles over global fields
  is an important arithmetic invariant. It can be written as&nbsp\; sum of&
 nbsp\;  local contributions\, one for each place of the ground field. Foll
 owing Hain\, the Archimedean components of the height pairing can be&nbsp\
 ; interpreted in terms of biextensions of mixed Hodge structures. In this 
 talk we will explore how to extend the Archimedean contribution of the hei
 ght pairing to higher cycles in the Bloch complex and interpret it as an i
 nvariant&nbsp\;associated to a mixed Hodge structure. This is joint work w
 ith S. Goswami and G. Pearlstein.  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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