BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Derived categories\, noncommutative motives and commutative theore
 ms  - Marcello Bernardara (Toulouse)
DTSTART:20140528T131500Z
DTEND:20140528T141500Z
UID:TALK50726@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:In this talk\, I will present results obtained with G.Tabuada 
 and\, partially\, M.Marcolli.\nGiven a smooth projective variety\, one can
  consider the dg-category perf(X) and the associated non-commutative motiv
 e NC(X). A bridge between non-commutative and commutative motives allows o
 ne to obtain "commutative" invariants such as intermediate Jacobians and C
 how groups from the study of semiorthogonal decompositions of Perf(X). Exa
 mples of applications are a proof of a conjecture on Chow groups of some i
 ntersections of quadrics and a non-commutative formulation of Voevodsky's 
 smash-nilpotence conjecture.\n
LOCATION:MR 13\, CMS
END:VEVENT
END:VCALENDAR