The Algebraic Combinatorics Seminar
Scheduled for Fridays at 3:00 PM
Carolina Benedetti , Nantel Bergeron and Yannic Vargas


In reverse-chronological order.

Date Speaker Title (click titles for abstract)
6 Nov. 2015
30 Oct. 2015
Mike Zabrocki Symmetric group and Gl_n characters
I will review the construction of the Gl_n and S_n characters in the tensor algebra and then present a simple to state open problem: how do we express the S_n characters as a monomial symmetric function expansion in the eigenvalues of the permutation matrix?
23 Oct. 2015
Room 230
Shu Xiao Li Unimodality and Fibonomials
16 Oct. 2015
Nantel Bergeron Hopf monoid of Matroid and Positroid
I describe the Hopf monoid of matroid (with linear order) and the Hopf submonoid of Positroid.
9 Oct. 2015
Room 230
Yannic Vargas The product of monomial basis in the Hopf algebra of Malvenuto-Reutenauer
We will work out some examples to understand two combinatorial interpretations for the coefficients of the product between the monomial basis in the Hopf algebra of Malvenuto-Reutenauer, based on planar posets and permutation patterns.
2 Oct. 2015
25 Sep. 2015 Nantel Bergeron Hopf algebras on matroids
We will work out some examples of the several Hopf algebras on Matroids.
18 Sep. 2015 Jean-Baptiste Priez Non-commutative Frobenius characteristic of generalized parking functions
11 Sep. 2015 Nantel Bergeron What to do this year
(more details soon)


About the seminar. Every year we pick a new topics to explore.

Year Topic
2014-2015 Fiboland, Symmetric and non symmetric functions
2013-2014 Fiboland, a world of Catalan and Fibonacci numbers
2012-2013 NSym and the Immaculate Basis
2011-2012 k-Schur functions and affine permutations
2010-2011 Littlewood Richardson rule k-Schur functions.
2009-2010 Idempotents and weakly ordered semigroups. (q,t) Catalan Numbers.
2008-2009 Littlewood-Richardson Rule, Shifted Tableaux and P-Schur functions
2007-2008 Open problems around k-Schur functions and non-commutative symmetric functions
2006-2007 Open problems
2005-2006 Cluster Algebras and Quivers
Spring 2005 Formal languages and analytic classes of functions
Fall 2004 (Quasi-) Symmetric functions in noncommutative variables and applications
Winter 2003 Crystal Bases and Representation Theory, Super-algebras, etc.
Fall 2003 Quasi-Symmetric functions and applications
Fall 2002 Crystal Bases and Representation Theory