Seminar Event Detail

Algebraic Geometry

Date:  Wednesday, January 19, 2022
Location:  4096 East Hall (4:00 PM to 5:30 PM)

Title:  Fully faithful functors and dimension

Abstract:   A conjecture of Orlov states that the Rouquier dimension of the derived category of a smooth projective variety is equal to its dimension. We'll discuss the meaning of the conjecture and some things we know about it, and then explain the proof of a weakened version. This weakened version implies a fact predicted by Orlov's conjecture: If X, Y are smooth projective varieties and there is a fully faithful functor from the derived category of X to the derived category of Y, then the dimension of X is at most the dimension of Y.


Speaker:  Noah Olander
Institution:  Columbia University

Event Organizer:     


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