| Speaker: | Marcello Bernardara (Institut de Mathématiques de Toulouse) |
|---|---|
| Title: | Derived categories, noncommutative motives and commutative theorems |
| Date (JST): | Mon, Mar 10, 2014, 14:00 - 17:00 |
| Place: | Seminar Room A |
| Related File: | 1156.pdf |
| Abstract: |
In this talk, I will present results obtained with G. Tabuada. Given a smooth projective variety, one can consider the dg-category perf(X) and the associated non-commutative motive NC(X). A bridge between noncommutative 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). One of the applications is a proof of a conjecture on Chow groups of some intersections of quadrics. |
| Remarks: | Part 1; 14:00 - 15:00 Part 2; 17:00 - 18:30 The note of Related File have been written by Prof. Uehara. |
