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UID:20251110T024505EST-8042vvBPZ7@132.216.98.100
DTSTAMP:20251110T074505Z
DESCRIPTION:Title: Crystal invariant theory\n\nAbstract: Many classical con
 structions with semistandard Young tableaux can be described by formulas c
 onsisting of the operations of addition\, subtraction\, and taking the min
 imum of several numbers. By de-tropicalizing these formulas—that is\, by r
 eplacing the operations min\,+\,- with addition\, multiplication\, and div
 ision—one obtains subtraction-free rational maps with remarkable propertie
 s.\n	\n	In this talk\, we consider de-tropicalizations of several families o
 f combinatorial maps connected to the representation theory of GL_n\, name
 ly\, crystal operators and combinatorial R-matrices. We study the invarian
 ts of various subsets of these maps\, and describe (conjectural) generatin
 g sets in each case. We view these invariants as crystal-theoretic analogu
 es of the invariants of various combinations of SL_m\, SL_n\, S_m\, and S_
 n acting on a polynomial ring in an m times n matrix of variables. This is
  based on joint work with Ben Brubaker\, Pavlo Pylyavskyy\, and Travis Scr
 imshaw.\n
DTSTART:20220318T150000Z
DTEND:20220318T160000Z
LOCATION:Room PK-4323\, CA\, 201 Ave. du President-Kennedy
SUMMARY:Gabriel Frieden\, UQAM
URL:/mathstat/channels/event/gabriel-frieden-uqam-3385
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