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SUMMARY:Ely Kerman (University of Illinois Urbana-Champaign)
DTSTART:20230315T121000Z
DTEND:20230315T133000Z
DTSTAMP:20260423T004755Z
UID:GDS/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/77/">Mea
 n width\, symplectic capacities and volume</a>\nby Ely Kerman (University 
 of Illinois Urbana-Champaign) as part of Geometry and Dynamics seminar\n\n
 \nAbstract\nIn this talk\, I will discuss an inequality between a symplect
 ic version \nof the mean width of a convex body and its symplectic capacit
 y. This is \nmotivated by and generalizes an equality established by Artst
 ein-Avidan \nand Ostrover. The proof utilizes their symplectic Brunn-Minko
 wski \ninequality together with a local version of Viterbo's conjecture \n
 established by Abbondandolo and Benedetti. I will also describe several \n
 examples and secondary results that suggest that the difference between \n
 the symplectic mean width and the mean width is deeply related to toric \n
 symmetry. This is joint work in progress with Jonghyeon Ahn.\n
LOCATION:https://researchseminars.org/talk/GDS/77/
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