Semiorthogonal decompositions and dimension

Noah Olander (Columbia University)

10-Dec-2021, 20:00-21:00 (3 years ago)

Abstract: A conjecture of Orlov predicts that we can recover the dimension of a smooth quasi-projective variety from its derived category via the Rouquier dimension. We explain the meaning of the conjecture and some things we know about it, then we explain the proof of a weakened version. We use this to prove a fact predicted by Orlov’s conjecture: If the derived category of X appears as a component of a semiorthogonal decomposition of the derived category of Y (X,Y smooth proper varieties) then the dimension of X is at most the dimension of Y.

algebraic geometry

Audience: researchers in the topic

( chat | slides | video )

Comments: The synchronous discussion for Noah Olander’s talk is taking place not in zoom-chat, but at tinyurl.com/2021-12-10-no (and will be deleted after ~3-7 days).


Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com

Organizer: Ravi Vakil*
*contact for this listing

Export talk to