November 18, 2009
Anatol Kirillov (Kyoto): Tropical Robinson-Schensted-Knuth correspondence
Abstract:
I will define a certain birational, subtraction free map of
the N-dimensional affine space which is compatible with certain actions
of the affine symmetric group on the affine space in question. After
tropicalization and restriction on the set of Gelfand-Tsetlin patterns,
this map becomes the Robinson-Schensted-Knuth bijection. Some
applications will be given, if the time will allow.