Windows on the Pfaffian-Grassmannian correspondence

Abstract: The Pfaffian-Grassmannian correspondence has been a key example in the development of Homological Projective Duality: it concerns certain pairs of non-birational Calabi-Yau threefolds which share a mirror partner, and can be proved to be derived equivalent. Physically, such an equivalence is associated to B-brane transport along a path in a mirror symmetry moduli space, and is dependent on the homotopy class of that path: I give a mathematical implementation of this dependency, in terms of mutations of an exceptional collection on the relevant Grassmannian. This follows a physical analysis of Hori and Eager-Hori-Knapp-Romo, and builds on work with Addington and Segal.

algebraic geometry

Audience: researchers in the topic

Warwick algebraic geometry seminar