名古屋組合せ論セミナー

日時:2014 年 7 月 22 日(火)10:30 ~

場所:名古屋大学理学部 A 館 328 号室

講演者:Christoph Koutschan (RICAM, Austrian Academy of Sciences)

タイトル:The combinatorics of motion polynomials

アブストラクト:
We study the kinematics of linkages in the plane with rotational
joints. Our goal is to construct, for any given bounded rational
curve, a linkage that draws this curve. For this purpose, a
noncommutative algebra of so-called motion polynomials is introduced,
and the factorizations of such polynomials are investigated.
We want to discuss several combinatorial problems related to
Dyck paths that arise in this context.