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SUMMARY:Lara Bossinger (UNAM Oaxaca)
DTSTART:20210611T131500Z
DTEND:20210611T141500Z
DTSTAMP:20260423T005700Z
UID:ToricDeg/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ToricDeg/2/"
 >Newton--Okounkov bodies for cluster varieties</a>\nby Lara Bossinger (UNA
 M Oaxaca) as part of Toric Degenerations\n\n\nAbstract\nCluster varieties 
 are schemes glued from algebraic tori. Just as tori themselves\, they come
  in dual pairs and it is good to think of them as generalizing tori. Just 
 as compactifications of tori give rise to interesting varieties\, (partial
 ) compactifications of cluster varieties include examples such as Grassman
 nians\, partial flag varieties or configurations spaces. A few years ago G
 ross--Hacking--Keel--Kontsevich developed a mirror symmetry inspired progr
 am for cluster varieties. I will explain how their tools can be used to ob
 tain valuations and Newton--Okounkov bodies for their (partial) compactifi
 cations. The rich structure of cluster varieties however can be exploited 
 even further in this context which leads us to an intrinsic definition of 
 a Newton--Okounkov body.\nThe theory of cluster varieties interacts beauti
 fully with representation theory and algebraic groups. I will exhibit this
  connection by comparing GHKK's technology with known mirror symmetry cons
 tructions such as those by Givental\, Baytev--Ciocan-Fontanini--Kim--van S
 traten\, Rietsch and Marsh--Rietsch.\n
LOCATION:https://researchseminars.org/talk/ToricDeg/2/
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