The Algebraic Combinatorics Workgroup
Scheduled for Fridays at 3:15 PM (EDT [GTM -4]),
A working seminar (at) of the Fields Institute organized by Nantel Bergeron and Kelvin Chan.


Schedule FALL 2022 Click to see/hide schedule

Date Speaker Title (click titles for abstract)
Sept 2 Lucas Gagnon (York), Anthony Aurthur Lazzeroni Jr (HKBU), Farhad Soltani (York), Nantel Bergeron (York) First Meeting. Icebreaker and Problem Suggestions
A few people will present some icebreaker talks and suggest some open problems.
Sept 9 Farhad Soltani (York) DQSYM
I will be talking about quasisymmetric polynomials on two sets of variables and the coinvariant space.
Sept 16 Lucas Gagnon (York) Chromatic quasisymmetric functions and representation theory
This talk will explore several topics related to the chromatic symmetric function and its quasisymmetric q-analogue. First, I will use them as a way to reviewt (quasi-)symmetric functions and some of their properties. Then, I will talk about some representation theoretic interpretations for symmetric functions generally, and the chromatic quasisymmetric function in particular.
Sept 23 Anthony Aurthur Lazzeroni Jr (HKBU) The ideal of r-quasisymmetric functions
In this talk I will recall the space of r-quasisymmetric functions. These spaces are nested subHopf algebras that interpolates between the space of Quasisymmetric functions and Symmetric functions. I will also discus some previous results about the quotient ring of the polynomial ring and the ideal generated by non-constant homogenous quasisymmetric functions.
Sept 30 (tentative) Alan Lao (York) TBD
Oct 1
Oct 7
Oct 14
Oct 21
Oct 28
Nov 4
Nov 11
Nov 18

Schedule WINTER 2023 Click to see/hide schedule

Date Speaker Title (click titles for abstract)

Notes.


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

Year Topic
2020-2021 Super Harmonics, Left Regular Bands, and 0/1 Polytopes.
2019-2020 Super Harmonics and some sign variations.
2018-2019 Super Harmonics, steep bounce and a little bit of q-fibonomials.
2017-2018 (Quasi)symmetric functions in superspace, Hopf algebra of planar trees
2016-2017 Quantum Schubert; The theta map; Reduce order of symmetric group; Branching rule between GL(n) and symmetric group.
2015-2016 Positroid and Matroid/ Hopf algebras and quotients.
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 05 Formal languages and analytic classes of functions
Fall 04 (Quasi-) Symmetric functions in noncommutative variables and applications
Winter 03 Crystal Bases and Representation Theory, Super-algebras, etc.
Fall 03 Quasi-Symmetric functions and applications
Fall 02 Crystal Bases and Representation Theory