Descent for semi-orthogonal decompositions
HARVARD-MIT ALGEBRAIC GEOMETRY
Elden Elmanto - Harvard University
This talk is an invitation to derived methods in algebraic geometry. We will use derived algebraic geometry to give a solution to the problem of descending "bases" (semiorthogonal decompositions) on the category of perfect complexes on algebraic varieties. This generalizes, and gives a uniform treatment of the work of Elagin, Shinder, Bernardara, Bergh-Schürer, Auel-Bernardara and Ballard-Duncan-McFaddin. Based on joint work with Ben Antieau in ArXiv:1912.08970.