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SUMMARY:Mixed Hodge Structures and Heights Associated to Algebraic Cycles
DTSTART:20251124T140000Z
DTEND:20251124T153000Z
DTSTAMP:20260522T062000Z
UID:indico-event-15537@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Souvik Goswami (IHES)\n\nRunning Seminar\nIn abstrac
 t Hodge theory\, Deligne’s delta splitting measures how far a mixed Hodg
 e structure is from being split as a real mixed Hodge structure. An allied
  notion\, developed by S. Bloch\, R.Hain et al.\, is that of a height for 
 a special class of mixed Hodge structures called Biextensions. \nThe idea 
 of a Biextension is closely related to algebraic cycles homologous to zero
 . Given two such cycles in complementary codimensions in an ambient smooth
  and projective variety\, a certain cohomology group associated to the pai
 r provides an example of a Biextension-type mixed Hodge structure.  The h
 eight associated with such a Biextension has been well studied and has bee
 n an active area of research for the past few decades.\n In an ongoing pr
 oject\, the speaker\, along with J. I. Burgos Gil and G. Pearlstein\, has 
 developed a theory of mixed Hodge structures and heights associated with B
 loch’s higher cycles\, that generalizes the above study of Biextensions 
 (doi.org/10.1112/plms.12443 and arXiv:2410.17167v2 [math.AG]).\n In the t
 alk\, I will explain the current state of the art of this project after re
 viewing the established theory.\n========\nPour être informé des prochai
 ns séminaires vous pouvez vous abonner à la liste de diffusion en écriv
 ant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe semi
 naire_mathematique PRENOM NOM"(indiquez vos propres prénom et nom) et lai
 ssez le corps du message vide.\n\nhttps://indico.math.cnrs.fr/event/15537/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15537/
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