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SUMMARY:Ben Wormleighton (Washington)
DTSTART:20210422T120000Z
DTEND:20210422T130000Z
DTSTAMP:20260423T005804Z
UID:notts_ag/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/54/
 ">A tale of two widths: lattice and Gromov</a>\nby Ben Wormleighton (Washi
 ngton) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstra
 ct\nTo a polytope $P$ whose facet normals are rational one can associate t
 wo geometric objects: a symplectic toric domain $X_P$ and a polarised tori
 c algebraic variety $Y_P$\, which can also be viewed as a potentially sing
 ular symplectic space. A basic invariant of a symplectic manifold $X$ is i
 ts Gromov width: essentially the size of the largest ball that can be 'sym
 plectically' embedded in $X$. A conjecture of Averkov-Hofscheier-Nill prop
 osed a combinatorial bound for the Gromov width of $Y_P$\, which I recentl
 y verified in dimension two with Julian Chaidez. I’ll discuss the proof\
 , which goes via various symplectic and algebraic invariants with winsome 
 combinatorial interpretations in the toric case. If there’s time\, I’l
 l discuss ongoing work and new challenges for a similar result in higher d
 imensions.\n
LOCATION:https://researchseminars.org/talk/notts_ag/54/
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