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SUMMARY:Formality of ordinary and twisted de Rham complex from derived alg
 ebraic geometry
DTSTART:20121025T151500
DTEND:20121025T170000
DTSTAMP:20260406T102152Z
UID:50b7e6fa6bd93810b3386fd7fcb4258ac3b2070a52130ff4bd8fe32c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Andrei Caldararu\, University of Wisconsin\, Madison\nBeautifu
 l results of Deligne-Illusie\, Sabbah\, and Ogus-Vologodsky show that cert
 ain modifications of the de Rham complex (either the usual one\, or twiste
 d versions of it that appear in the study of the cyclic homology of catego
 ries of matrix factorizations) are formal in positive characteristic. Thes
 e are the crucial steps in proving algebraic analogues of the Hodge theore
 m (again\, either in the ordinary setting or in the presence of a twisting
 ). I will present these results along with a new approach to understanding
  them using derived intersection theory. This is joint work with Dima Arin
 kin and Marton Hablicsek.
LOCATION:CM 1 100 http://plan.epfl.ch/?room=CM%201%20100
STATUS:CONFIRMED
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