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University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Derived categories, noncommutative motives and commutative theorems
Derived categories, noncommutative motives and commutative theoremsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Dr. J Ross. In this talk, I will present results obtained with G.Tabuada and, partially, M.Marcolli. Given a smooth projective variety, one can consider the dg-category perf(X) and the associated non-commutative motive NC(X). A bridge between non-commutative and commutative motives allows one to obtain “commutative” invariants such as intermediate Jacobians and Chow groups from the study of semiorthogonal decompositions of Perf(X). Examples of applications are a proof of a conjecture on Chow groups of some intersections of quadrics and a non-commutative formulation of Voevodsky’s smash-nilpotence conjecture. This talk is part of the Algebraic Geometry Seminar series. This talk is included in these lists:
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