AAG Seminar: The movable cone of a Calabi-Yau threefold

Speaker: Wendelin Lutz, University of Massachusetts Amherst

Abstract: We study how the movable cone Mov(Y) of a smooth Calabi-Yau threefold Y changes under deformation. In particular, we show that Mov(Y) is a fundamental domain for the action of a certain reflection group on Mov(Y^{gen}), where Y^gen is a general deformation of Y. This generalizes results of P. Wilson on the Kähler cone of Y. I will then discuss applications to the Morrison Cone conjecture. If time permits, I will explain how to generalize these results to log Calabi-Yau threefolds.

Host: Matt Kerr