Anatol Kirillov: Tropical Robinson-Schensted-Knuth correspondence
Anatol Kirillov, Research Institute for Mathematical Sciences, Kyoto University
Time: Wed 2009-11-18 10.15 - 12.00
Location: Room 3733, department of mathematics, KTH, Lindstedtsvägen 25, 7th floor
Contact:
Axel Hultman
08-790 7417
Subject area: Combinatorics
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 to the set of Gelfand-Tsetlin patterns, this map becomes the Robinson-Schensted-Knuth bijection. Some applications will be given, if the time will allow.