東京無限可積分系セミナー

過去の記録 ~02/05次回の予定今後の予定 02/06~

開催情報 土曜日 13:30~16:00 数理科学研究科棟(駒場) 117号室
担当者 神保道夫、国場敦夫、山田裕二、武部尚志、高木太一郎、白石潤一
セミナーURL https://www.ms.u-tokyo.ac.jp/~takebe/iat/index-j.html

2014年09月22日(月)

13:30-16:00   数理科学研究科棟(駒場) 117号室
Satoshi Nawata 氏 (Theoretical Physics at NIKHEF)
Colored HOMFLY homology of knots and links (ENGLISH)
[ 講演概要 ]
In this talk I will present structural properties of colored HOMFLY homology of knots and links. These rich properties of the categorification of the colored HOMFLY polynomial are obtained by using various methods: physics insights, representation theory of Lie super-algebras, double affine Hecke algebras, etc. This in turn enables computation of colored HOMFLY homology for various classes of knots and links and consequent computation of super-A-polynomial - the deformation of the classical A-polynomial. I will also explain recent results and special additional properties for colored Kauffman homology as well as the case of links. Although I will try to give a talk accessible to mathematicians, there is no proof and rigorousness in this talk.