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The movable cone of a Calabi--Yau threefold

Event Category:
Valley Geometry Seminar
Wendelin Lutz

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

Friday, February 16, 2024 - 4:00pm
LGRT 1681

Refreshments at 3:30PM.