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UID:1826c927109c6a9b529bc17a91f02a55
CATEGORIES:Special Colloquium
CREATED:20211129T111130
SUMMARY:Compactifications and Dualities for Cluster varieties
LOCATION:Zoom
DESCRIPTION:<p>Cluster varieties are log Calabi-Yau varieties which are unions of algeb
 raic tori glued by birational "mutation" maps. In particular, they are blow
 ups of toric varieties. We will show how to generalize the polytope constru
 ction of toric varieties to cluster varieties. As an application, we will s
 ee that the non-integral vertex in the Newton-Okounkov body of the Grassman
 nian comes from the so-called broken line convexity. We will also discuss m
 irror dualities of cluster varieties from the symplectic perspective. This 
 talk will be based on a series of joint works with Bardwell-Evans, Bossinge
 r, Hong, Lin, Magee, Najera-Chavez.</p>
CONTACT:Mandy Cheung
X-EXTRAINFO:This talk is for the local Rutgers Math Community only, Zoom links will be 
 sent by the Department Chair via email
DTSTAMP:20260828T104010
DTSTART;TZID=America/New_York:20211206T113000
DTEND;TZID=America/New_York:20211206T123000
SEQUENCE:0
TRANSP:OPAQUE
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