Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
The noncommutative minimal model program
There are many situations in which the derived category of coherent sheaves on a smooth projective variety can be decomposed into smaller pieces that reflect something interesting about its geometry. I will present a new unifying framework for studying these semiorthogonal decompositions using Bridgeland stability conditions. There is a partial compactification of the space of stability conditions, constructed jointly with Alekos Robotis, whose boundary points correspond to a new homological structure called a multiscale decomposition, which generalizes a semiorthogonal decomposition. From this perspective, I will formulate some conjectures about canonical flows on the space of stability conditions that imply several important conjectures on the structure of derived categories, such as the D-equivalence conjecture and Dubrovin's conjecture.
No Notes/Supplements Uploaded