談話会(数学フロンティア対象科目)

Date and time

2023/06/01(Thu)

Category

談話会

Location

オンライン

Contact

tange@math.tsukuba.ac.jp

Details

6月の談話会を以下のように実施します。奮ってご参加ください。

なお、この談話会は数学フロンティアの対象科目です。

日　時　6月1日(木) 15:30 - 17:00

講演者　伊藤 昇 氏（茨城工業高等専門学校）

題目　A quantization of the Arnold strangeness invariant 

概要　Arnold invariants are celebrated invariants as plane curve versions of Vassiliev knot invariants. Arnold invariants consist of three types. Two of them have been quantized by Viro (1996) and Lanzat-Polyak (2013). In this talk, we quantize the last remaining one, the Arnold strangeness invariant. As a result, we formulate a polynomial invariant expressed as an integral. The quantization is done by integrating the curvature multiplied by an appropriate density. The first term of the Taylor expansion at q=1 corresponds to the rotation number and the second term to the Arnold strangeness invariant.

Created user

tange

Created datetime

2023-05-16 18:06:14