The Algebraic Combinatorics Workgroup
Scheduled for Fridays at 3:30 PM (EDT [GTM -4]), ONLINE Zoom meeting
A working seminar (at) of the Fields Institute organized by Nantel Bergeron and Aram Dermenjian.


Schedule FALL 2020 Click to see/hide schedule

Date Speaker Title (click titles for abstract)
Sept 25 Nantel Bergeron, Aram Dermenjian, and Mike Zabrocki (all York) First meeting This is Zoom organization meeting, please come and present problem you would like to work on this year
Oct 2 Mike Zabrocki SuperInvariants quotient and Harmonics
Mike Zabrocki will go over our main conjecture from the beginning and go over the linear basis option.
Oct 9 Nantel Bergeron Finding basis in quotient space
Nantel Bergeron will go over the Artin basis in the classical case and the characterization he mentioned last week. And see what goes wrong for super harmonics. The Notes from the talk are HERE
Oct 16 Nantel Bergeron Toward constructing a basis for the Super-coinvariants
We start showing our main long standing conjecture. I will present what I believe will lead us to a full proof. This is a draft attempt but it is promissing.
Oct 23 Nantel Bergeron, Aram Dermenjian Toward constructing a basis for the Super-coinvariants part 2
We continue looking at a draft proof as presented by Nantel Bergeron.
Oct 30 Aram Dermenjian Toward constructing a basis for the Super-coinvariants for n=5
We look at potential issues when n=5.
Nov 06 Kelvin Chen Turning hooks into alternants
We look at a construction that turns a hook shaped Specht module into an alternating polynomial.
Nov 13 Kelvin Chen Turning hooks into alternants: part 2
We will continue from last week and look at a construction that turns a hook shaped Specht module into an alternating polynomial.
Nov 20 Yohana Solomon Multiset Partition Algebra
In this talk, we will introduce multiset partition algebra, whose basis elements are indexed by multiset partition.
Nov 27 Aram Dermenjian An open problem on left regular bands, part 1
In this talk we discuss an open problem on left refular bands.
Dec 4 Aram Dermenjian An open problem on left regular bands, part 2
In this talk we discuss an open problem on left refular bands.
Dec 11 Aram Dermenjian An open problem on left regular bands, part 3
In this talk we discuss an open problem on left refular bands.
Dec 18 Mike Zabrocki, Nantel Bergeron, Aram Dermenjian A recap of the semester
In this talk we give an overview of the topics discussed this semester.

Schedule WINTER 2021 Click to see/hide schedule

Date Speaker Title (click titles for abstract)
Jan 15
Jan 22

Notes.


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

Year Topic
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