Semiorthogonal decompositions from quantum cohomology

Vanja Zuliani (Université Paris-Saclay)

Tuesday 10th December, 2024 15:00-16:00 Maths 311B

Abstract

In this seminar I will review some conjectures by Halper-Leistner on the non-commutative MMP. One of the central aspects of this program is to show how quantum cohomology induces, via Bridgeland stability conditions, a sort of “canonical” semi-orthogonal decomposition.

Halper-Leistner studied the NCMMP for curves. I will show how quantum cohomology of projective spaces P^n induces semiorthogonal decompositions.

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