Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






Categorical and analytic invariants in Algebraic geometry 1
September 18, 2015 16:30–17:30, Moscow, Steklov Mathematical Institute
 


Skew-growth function for dual Artin monoid

K. Saito
Video records:
MP4 2,240.0 Mb
MP4 568.1 Mb

Number of views:
This page:147
Video files:40

K. Saito


Видео не загружается в Ваш браузер:
  1. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  2. Сообщите администратору портала о данной ошибке

Abstract: Artin group is the fundamental group of the compliment of the discriminant loci of classical Lie types, and is defined by the Artin braid relations. The monoid inside the Artin group generated by simple generators, called Artin monoid, is a lattice and is used to give a discripsion of the universal covering of the compliment of the discriminant. Recently, people found another lattice structure in the Artin group by using generators corresponding to all reflections, and call it the dual Artin monoid. We show that the skew growth function of the dual Artin monoid has exactly the rank number of zero loci on the interval $(0,1]$. The same statement for the original Artin monoid still remains to be a conjecture. Joint work with T. Ishibe.

Language: English

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021