Upcoming Events For Coxeter Groups Seminars


Past Events

Tue Apr 19, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Twisted highest weight modules and shellability

Abstract

Posted In: Coxeter Groups Seminars

Tue Apr 12, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Stratified rings

Abstract

Posted In: Coxeter Groups Seminars

Tue Apr 5, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Shellability and Hecke algebras II 

Abstract: I will continue from last week the discussion of shellings of Bruhat intervals and some of their relations to Iwahori-Hecke algebras. …

Posted In: Coxeter Groups Seminars

Tue Mar 29, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Shellability and Hecke algebras

Abstract: Weijia Wang will conclude his talk from last week with some further general characterizations of shellability of posets. Then I will discuss shellings of Bruhat intervals and indicate relations between (some) such shellings and Iwahori-Hecke algebras. …

Posted In: Coxeter Groups Seminars

Tue Mar 22, 2016

Coxeter Groups Seminar: Weijia Wang - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Lexicographically Shellable Posets

Abstract

Posted In: Coxeter Groups Seminars

Tue Mar 15, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Twisted Bruhat orders and Kac-Moody Lie algebras

Abstract: We discuss some known and conjectural relationships of twisted Bruhat orders with Kac-Moody Lie algebras.

 …

Posted In: Coxeter Groups Seminars

Tue Mar 1, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Categories of modules for Kac-Moody Lie algebras II

Abstract: This talk will continue from the previous one the discussion of properties of deformed Verma modules in Anderson-Jantzen-Soergel type categories for Kac-Moody LIe algebras.…

Posted In: Coxeter Groups Seminars

Tue Feb 23, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Categories of modules for Kac-Moody Lie algebras

Abstract: This talk will describe elementary algebraic and homological properties of modules in categories of Andersen-Jantzen-Soergel type for algebras with triangular decomposition, and discuss some related results and conjectures in the case of Kac-Moody Lie algebras.…

Posted In: Coxeter Groups Seminars

Tue Feb 16, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title Projectives in subcategories of category O

Abstract: We will discuss the construction of sufficiently many projective objects in certain subcategories of category O for Kac-Moody Lie algebras, and related categories, and some of the consequences. The ideas are due to Bernstein, Gelfand and Gelfand, Rocha-Caridi and Wallach, Soergel, and Andersen, Jantzen and Soergel.…

Posted In: Coxeter Groups Seminars

Tue Feb 9, 2016

Coxeter Groups Seminar: Jinwei Yang - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: The composition factors in Verma modules over symmetrisable Kac-Moody Lie algebras

Abstract: In this talk, I will follow Kac-Kazhdan to give a description of the irreducible modules that occur in the Jordan-Holder series of a Verma module over a symmetrisable Kac-Moody Lie algebra.…

Posted In: Coxeter Groups Seminars

Tue Feb 2, 2016

Coxeter Groups Seminar: Alexander Diaz-Lopez - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: The weight system of integrable highest-weight modules

Abstract: We will describe the set of weights of an integrable-highest weight module $L(\Lambda)$ over a Kac-Moody algebra.…

Posted In: Coxeter Groups Seminars

Tue Jan 26, 2016

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: Twisted Bruhat orders

Abstract

Posted In: Coxeter Groups Seminars

Tue Jan 19, 2016

Coxeter Groups Seminar: Weijia Wang - University of Notre Dame

12:00 PM - 1:00 PM
125 Hayes-Healy Hall

Title: The Integrable Highest-Weight Modules And the Character Formula

Abstract: We will talk about the complete reducibility of an integrable module from category O over a symmetrizable Kac-Moody Lie algebra and the character formula for the irreducibles.…

Posted In: Coxeter Groups Seminars

Tue Nov 24, 2015

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

10:00 AM - 11:00 AM
258 Hurley Hall

Title: Lattices from valued digraphs

Abstract

Posted In: Coxeter Groups Seminars

Tue Nov 10, 2015

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

10:00 AM - 11:00 AM
258 Hurley Hall

Title: Infinitely long elements of Coxeter groups (ctd)

Abstract: I will continue the discussion of classification and properties of biclosed subsets of positive roots of affine Weyl groups.…

Posted In: Coxeter Groups Seminars

Tue Oct 27, 2015

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

10:00 AM - 11:00 AM
258 Hurley Hall

Title: Infinitely long elements of coxeter groups III

Abstract

Posted In: Coxeter Groups Seminars

Tue Oct 13, 2015

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

10:00 AM - 11:00 AM
258 Hurley Hall

Title: Infinitely long elements of Coxeter groups II

Abstract

Posted In: Coxeter Groups Seminars

Tue Sep 29, 2015

Coxeter Groups Seminar: Weijia Wang - University of Notre Dame

10:00 AM - 11:00 AM
258 Hurley Hall

Title: Infinitely Long Words of the Affine Weyl Groups

Abstract

Posted In: Coxeter Groups Seminars

Tue Sep 15, 2015

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

10:00 AM - 11:00 AM
258 Hurley Hall

Title: Infinitely lon elements of Coxeter groups

Abstract

Posted In: Algebra Seminars and Coxeter Groups Seminars

Wed May 6, 2015

Coxeter Groups Seminar: Christophe Hohlweg - Université du Québec à Montréal

1:00 PM - 2:00 PM
125 Hayes-Healy Hall

Title: Artin-Tits Braid groups, low elements and weak order in Coxeter groups

Abstract

Posted In: Coxeter Groups Seminars

Thu Feb 26, 2015

Coxeter Groups Seminar: Ben Elias - University of Oregon

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Elementary Hodge theory and the Kazhdan-Lusztig conjectures

Abstract

Posted In: Coxeter Groups Seminars

Tue Dec 9, 2014

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody algebras 

AbstractWe describe some applications of the Casimir operator to highest weight modules for symmetrizable Kac-Moody Lie algebras.

Posted In: Coxeter Groups Seminars

Tue Dec 2, 2014

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody algebras

Abstract: We will discuss basic properties of characters of highest weight modules for Kac-Moody Lie algebras.…

Posted In: Coxeter Groups Seminars

Tue Nov 25, 2014

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

1:00 PM - 2:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody algebras

Abstract: We shall discuss basic properties of highest weight modules for Kac-Moody Lie algebras.…

Posted In: Coxeter Groups Seminars

Tue Nov 11, 2014

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody algebras

Abstract

Posted In: Algebra Seminars and Coxeter Groups Seminars

Tue Nov 4, 2014

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title:  Introduction to Kac-Moody algebras

Abstract

Posted In: Coxeter Groups Seminars

Tue Oct 28, 2014

Coxeter Groups Seminar: Matthew Dyer - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introducgtion to Kac-Moody algebras

Abstract: I will describe the classification of generalized Cartan matrices

 …

Posted In: Coxeter Groups Seminars

Tue Oct 14, 2014

Coxeter Groups Seminar: Weijia Wang - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody Lie Algebras VII

Abstract

Posted In: Coxeter Groups Seminars

Tue Oct 7, 2014

Coxeter Groups Seminar: Weijia Wang - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody Lie Algebras VI

Abstract

Posted In: Coxeter Groups Seminars

Tue Sep 30, 2014

Coxeter Groups Seminar: Weijia Wang - University of Notre Dame

12:00 PM - 1:00 PM
258 Hurley Hall

Title: Introduction to Kac-Moody Lie Algebras V

Abstract: I will discuss the integrable representations and the Weyl group of a Kac-Moody Lie Algebra…

Posted In: Algebra Seminars and Coxeter Groups Seminars