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DTSTART;TZID=America/New_York:20191021T121000
DTEND;TZID=America/New_York:20191021T131000
DTSTAMP:20240221T104952Z
CREATED:20240212T104151Z
LAST-MODIFIED:20240221T104952Z
UID:10002000-1571659800-1571663400@cmsa.fas.harvard.edu
SUMMARY:Compactification for cluster varieties without frozen variables of finite type
DESCRIPTION:  \nSpeaker: Man-Wai Cheung \nTitle: Compactification for cluster varieties without frozen variables of finite type \nAbstract: Cluster varieties are blow up of toric varieties. They come in pairs $(A\,X)$\, with $A$ and $X$ built from dual tori. Compactifications of $A$\, studied by Gross\, Hacking\, Keel\, and Kontsevich\, generalize the polytope construction of toric varieties while the compactifications of X\, studied by Fock and Goncharov\, generalize the fan construction. The conjecture is that the $A$ and the $X$ cluster varieties are mirrors to each other. Together with Tim Magee\, we have shown that there exists a positive polytope for the type $A$ cluster varieties which give us a hint to the Batyrev–Borisov construction.
URL:https://cmsa.fas.harvard.edu/event/compactification-for-cluster-varieties-without-frozen-variables-of-finite-type/
CATEGORIES:Mathematical Physics Seminar
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