Seminars & Colloquia Calendar

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Special Colloquium

Compactifications and Dualities for Cluster varieties

Mandy Cheung

Location:  Zoom
Date & time: Monday, 06 December 2021 at 11:30AM - 12:30PM

Cluster varieties are log Calabi-Yau varieties which are unions of algebraic tori glued by birational "mutation" maps. In particular, they are blowups of toric varieties. We will show how to generalize the polytope construction of toric varieties to cluster varieties. As an application, we will see that the non-integral vertex in the Newton-Okounkov body of the Grassmannian comes from the so-called broken line convexity. We will also discuss mirror dualities of cluster varieties from the symplectic perspective. This talk will be based on a series of joint works with Bardwell-Evans, Bossinger, Hong, Lin, Magee, Najera-Chavez.

This talk is for the local Rutgers Math Community only, Zoom links will be sent by the Department Chair via email

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Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.