NC State UniversityCollege of Sciences
Department of Mathematics
Mathematics Home
About Us
Talks and Events
Special Events
Faculty-organized Meetings
Video Archive
Courses and Help
Summer Programs+
K - 12 Outreach
Computing Resources
Mathematics Resources
Faculty/Staff Resources
Support the Department
Contact Us

flow pass a cylinder with Reynolds number 200. The simulation was done using the augmented immersed interface method.
Algebra and Combinatorics Seminar
Upcoming Events

Monday, March 9, 2015 at 2:30 PM in SAS 4201
Christophe Hohlweg, LaCIM at Universit du Qubec Montral
Artin-Tits Braid groups, low elements and weak order in Coxeter groups
In this talk we will explain that the question of solving the conjugacy problem in the context of a general Artin-Tits Braid group reveals
strong connections between the weak order of a Coxeter system (W,S), inversion sets of elements of W and small roots. Small roots are the main ingredient introduced by Brink and Howlett in order to build a canonical automaton that recognizes the language of reduced words of elements of W over S. From small roots and inversion sets, we define a new finite class of elements in W called low elements. These low elements are the key to prove that the smallest subset of W containing S, closed under join (for the right weak order) and suffix is finite, and by ricochet that finitely generated Artin-Tits groups have a finite Garside family. Low elements seem rich in further applications in the study of infinite Coxeter groups, which will discuss if time allows.

(Based on joint works with Patrick Dehornoy and Matthew Dyer.)

2006 - Today

Previous Semesters

You can add or remove yourself from a seminar mailing list by visiting this link.

Seminar Organizers: Bojko Bakalov and Salvatore Stella

2108 SAS Hall  Directions  |  Box 8205  |  Raleigh, North Carolina 27695  |  Phone (919) 515-2382  |  Fax (919) 513-7336  |  E-mail Webmaster
©  North Carolina State University. All rights reserved.