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BEGIN:VEVENT
UID:72d11144b6e11461869c88bd08bb9e21
CATEGORIES:Geometric Analysis Seminar
CREATED:20211011T122349
SUMMARY:On generalized hyperpolygons, Higgs bundles and branes
DESCRIPTION:Abstract - In this talk we will introduce generalized hyperpolygons,\n whic
 h arise as Nakajima-type representations of a comet-shaped quiver,\n follow
 ing recent work with Steven Rayan. After showing how to identify\n these re
 presentations with pairs of polygons, we shall associate to\n the data an e
 xplicit meromorphic Higgs bundle on a\n genus-g Riemann surface, where g is
  the number of loops in the comet.\n We shall see that, under certain assum
 ptions on flag types, the moduli\n space of generalized hyperpolygons admit
 s the structure of a\n completely integrable Hamiltonian system. Finally, w
 e shall look into\n the appearance of branes within the moduli space of gen
 eralized\n hyperpolygons as well as of Higgs bundles, and consider mirror\n
  symmetry for such branes. Time permitting, we will mention some other\n re
 cent results in various areas of science.\n
X-ALT-DESC;FMTTYPE=text/html:<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:20260827T204607
DTSTART;TZID=America/New_York:20211012T145000
DTEND;TZID=America/New_York:20211012T155000
SEQUENCE:0
TRANSP:OPAQUE
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