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SUMMARY:Timothy Magee (University of Birmingham)
DTSTART:20200810T150000Z
DTEND:20200810T155000Z
DTSTAMP:20260423T023931Z
UID:AGCOnline/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGCOnline/6/
 ">Convexity in tropical spaces and compactifications of cluster varieties<
 /a>\nby Timothy Magee (University of Birmingham) as part of Algebra\, Geom
 etry\, and Combinatorics\n\n\nAbstract\nCluster varieties are a relatively
  new\, broadly interesting class of geometric objects that generalize tori
 c varieties.  Convexity is a key notion in toric geometry.  For instance\,
  projective toric varieties are defined by convex lattice polytopes.  In t
 his talk\, I'll explain how convexity generalizes to the cluster world\, w
 here "polytopes" live in a tropical space rather than a vector space and "
 convex polytopes" define projective compactifications of cluster varieties
 .  Time permitting\, I'll conclude with two exciting applications of this 
 more general notion of convexity: 1) an intrinsic version of Newton-Okounk
 ov bodies and 2) a possible cluster version of a classic toric mirror symm
 etry construction due to Batyrev.  Based on joint work with Man-Wai Cheung
  and Alfredo Nájera Chávez.\n
LOCATION:https://researchseminars.org/talk/AGCOnline/6/
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