早大理工トポロジーセミナーのお知らせ

Simplicial structures on braid groups and mapping class groups

Fedor DUZHIN (Nanyang Technological University, Singapore)

日時: 2011年 1月7日(金) 午後4時30分 〜      
場所: 早稲田大学理工学部63号館1階 数学応用数理学科会議室 

Abstract

Let n be a positive integer and let B_n be the Artin braid group on
n strands. Further, let B = ∪_{n ≠ 0} B_n+1 be the collection of all
braid groups. The simplicial structure on B is given by face-operators
d_i:B_n→ B_n-1
and degeneracy-operators
s_i:B_nB_n+1 for i =1, ..., n.
Specifically, d_i removes the i-th strand from a braid ands_i doubles one.

The main motivation to study the simplicial structure on braid groups
is its relation to homotopy groups of spheres. In the talk we'll discuss
this relation and explore similar simplicial structures on mapping class groups.


理工学部へのアクセス,63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 (早稲田大学理工学部数学科)
e-mail: murakami@waseda.jp


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