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SUMMARY:Max Weinreich (Brown)
DTSTART:20211023T150000Z
DTEND:20211023T152000Z
DTSTAMP:20260423T004727Z
UID:AGNES/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNES/3/">Th
 e pentagram map</a>\nby Max Weinreich (Brown) as part of Algebraic Geometr
 y NorthEastern Series (AGNES)\n\n\nAbstract\nThe pentagram map was introdu
 ced by Schwartz as a dynamical system on polygons in the real projective p
 lane. The map sends a polygon to the shape formed by intersecting certain 
 diagonals. This simple operation turns out to define a discrete integrable
  system\, meaning roughly that\, after a birational change of coordinates\
 , it is a translation on a family of real tori. We will explain how the re
 al\, complex\, and finite field dynamics of the pentagram map are all rela
 ted by the following generalization: the pentagram map is birational to a 
 translation on a family of Jacobian varieties.\n
LOCATION:https://researchseminars.org/talk/AGNES/3/
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