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SUMMARY:The Pentagram Map and Ramifications
DTSTART:20261012T070000Z
DTEND:20261015T154500Z
DTSTAMP:20261004T194300Z
UID:indico-event-17361@indico.math.cnrs.fr
CONTACT:jasserand@ihes.fr\;01 60 92 66 04
DESCRIPTION:\nOctober 12-15\, 2026    at IHES - Marilyn and James Simo
 ns Conference Center\nHow to get to IHES\n\n \nThis workshop explores the
  mathematics connected to the pentagram map and its generalizations.  \nW
 ith 3 talks per day\, spread out over 4 days\, leaving time for individual
 ized interactions\, it will not be confined to the special topic of the pe
 ntagram map\, but rather an exploration of the kind of mathematics that it
  relates to: integrable systems\, algebraic dynamics\, projective geometry
  and cluster algebras.\nThe pentagram map is a geometrically flavored dyna
 mical system defined on polygons by a simple and projectively natural stra
 ight-line construction. \nStarting with a polygon\, one intersects the sh
 ortest diagonals in cyclic order to produce a new polygon with the same nu
 mber of vertices.   \nThough quite elementary to define\, the pentagram 
 map turns out to have a deep structure connected to completely integrable 
 systems\,  symplectic geometry\, cluster algebras\, dimers\,  algebraic 
 dynamics\,  and moduli spaces.  \nThe same goes for the many generalizat
 ions of the pentagram map\, some of which are still quite mysterious.\n\nO
 rganizing Committee:\nRichard E. Schwartz (Brown Univ. & Gretchen and Bar
 ry Mazur Chair at IHES) and Robert C. Penner (Schlumberger Chair for Mathe
 matical Sciences at IHES)\nInvited speakers:\n\n\nVladimir DRAGOVIĆ (UT D
 allas)\n\n\nAnna FELIKSON (Durham University)\n\nVladimir FOCK (IRMA\, Str
 asbourg)\n\nMisha GEKHTMAN (University of Notre Dame)\n\n\nMax GLICK (Goog
 le)\n\n\nAnton IZOSIMOV (University of Glasgow)\n\n\nRinat KEDEM (Universi
 ty of Illinois Urbana-Champaign)\n\n\nValentin OVSIENKO (CNRS – Universi
 té de Reims Champagne-Ardenne)\n\n\nJean-Baptiste STIEGLER (Université P
 aris-Saclay)\n\n\nSergei TABACHNIKOV (Penn State University)\n\n\nBéatric
 e de TILIÈRE (Université Paris Dauphine – PSL)\n\n\nMax WEINREICH (CUN
 Y Baruch College)\n\nMichał ZWIERZYŃSKI (Warsaw University of Technology
 )\n\n\nhttps://indico.math.cnrs.fr/event/17361/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/17361/
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