講演会

過去の記録 ~07/21次回の予定今後の予定 07/22~


2017年05月23日(火)

17:00-18:00   数理科学研究科棟(駒場) 126号室
講演後の質疑応答の状況によっては、終了時間が多少遅れるかもしれません。
Frédéric Jouhet 氏 (Université Claude Bernard Lyon 1 / Institut Camille Jordan)
Enumeration of fully commutative elements in classical Coxeter groups (English)
[ 講演概要 ]
An element of a Coxeter group W is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. They index naturally a basis of the (generalized) Temperley-Lieb algebra associated with W. In this talk, focusing on the (affine) type A, I will describe how to
enumerate these elements according to their Coxeter length, in all classical finite and affine Coxeter groups. The methods, which generalize previous work of Stembridge,
involve many combinatorial objects, such as heaps, walks, or parallelogram
polyominoes. This talk is based on joint works with R. Biagioli, M. Bousquet-Mélou and
P. Nadeau.
[ 講演参考URL ]
http://math.univ-lyon1.fr/homes-www/jouhet/