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DTSTART:20230312T070000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-66
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:FRANCISCO VILLACIS\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSIT
 Y OF\nWATERLOO\n\n\"AN OVERVIEW OF THE GELFAND-CETLIN SYSTEM\"\n\nThe Gelf
 and-Cetlin system is an integrable system first introduced by\nV. Guillemi
 n and S. Sternberg in 1983 in order to study the\nquantization of complex 
 flag varieties. This integrable system shares\nmany properties with moment
  maps coming from torus actions\, such as\nhaving a polytope as image and 
 the fibres above the interior points of\nthe polytope are Lagrangian tori.
  There is one big difference between\ntoric moment maps and the Gelfand-Ce
 tlin system: the latter allows for\nLagrangian fibres which are not tori. 
 This phenomenon makes this\nsystem an important object to study in the con
 text of mirror\nsymmetry.  In this talk\, I will give a brief overview of
  the\nGelfand-Cetlin system and discuss the classification by Y. Cho\, Y.
 \nKim and Y-G. Oh of the Lagrangian fibres.\n\nMC 5417
DTSTAMP:20260505T133045Z
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