早大理工トポロジーセミナーのお知らせ
Optimistic limits of Kashaev invariants and
complex volumes of hyperbolic links
Jinseok CHO (Korean Institute for Advanced Study)
日時: 2013年 1月7日(月) 午後4時30分 〜
Jan. 7, 2013 (Monday), 16:30 ~
場所: 早稲田大学西早稲田(理工)キャンパス
51号館 17階 17-08 室
at 51st building, 17th floor, Room 17-08
Abstract :
Yokota suggested an optimistic limit method of the Kashaev
invariants of hyperbolic knots and showed it determines the
complex volumes of the knots. His method is very effective
and gives almost combinatorial method of calculating the
complex volumes. However, to describe the triangulation
of the knot complement, he restricted his method to knot
diagrams with certain conditions. Although these restrictions
are
general enough for any hyperbolic knots, we have to
select a good diagram of the knot to apply his theory.
In this talk, we suggest more general way to calculate the complex
volumes of hyperbolic links using the modified optimistic limit
method. This new method works for any link diagrams, and it is
more intuitive, easy to handle and has natural geometric meaning.
This is a joint-work with Hyuk Kim and Seonhwa Kim of
Seoul National University.
理工学部へのアクセス,51号館の位置は
http://www.sci.waseda.ac.jp/campus
を参照してください.
For access, see here.
皆様のお越しをお待ちしております.
世話人: 村上 順 (早稲田大学基幹理工学部数学科)
e-mail: murakami@waseda.jp