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BEGIN:VEVENT
UID:72d11144b6e11461869c88bd08bb9e21
CATEGORIES:Geometric Analysis Seminar
CREATED:20211011T122349
SUMMARY:On generalized hyperpolygons, Higgs bundles and branes
DESCRIPTION:<p>Abstract - In this talk we will introduce generalized hyperpolygons,<br 
 /> which arise as Nakajima-type representations of a comet-shaped quiver,<b
 r /> following recent work with Steven Rayan. After showing how to identify
 <br /> these representations with pairs of polygons, we shall associate to<
 br /> the data an explicit meromorphic Higgs bundle on a<br /> genus-g Riem
 ann surface, where g is the number of loops in the comet.<br /> We shall se
 e that, under certain assumptions on flag types, the moduli<br /> space of 
 generalized hyperpolygons admits the structure of a<br /> completely integr
 able Hamiltonian system. Finally, we shall look into<br /> the appearance o
 f branes within the moduli space of generalized<br /> hyperpolygons as well
  as of Higgs bundles, and consider mirror<br /> symmetry for such branes. T
 ime permitting, we will mention some other<br /> recent results in various 
 areas of science.</p>
CONTACT:Laura Schaposnik - University of Illinois at Chicago
X-EXTRAINFO:Zoom link: : https://rutgers.zoom.us/j/97953490430?pwd=RmxtS0pnVEFmaEc5U2tl
 Y3NDdW92Zz09
DTSTAMP:20260827T213958
DTSTART;TZID=America/New_York:20211012T145000
DTEND;TZID=America/New_York:20211012T155000
SEQUENCE:0
TRANSP:OPAQUE
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