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.

Date	Speaker	Title (click titles for abstract)
Jan 22	Nantel Bergeron, Mike Zabrocki	First meeting This is Zoom organization meeting, please come and present problem you would like to work on this year
Jan 29	Nantel Bergeron	Open problems on the 0/1-polytope In this talk we discuss open problems on 0/1-polytopes.
Feb 5	Aram Dermenjian	Left Regular Bands We will review left regular bands, giving new examples, and looking at conjectures we have made. In addition, we will present some counterexamples to some previously conjectured ideas.
Feb 12	Mike Zabrocki	Super Space
Feb 19	Nantel Bergeron	0/1 Polytopes.
Feb 26	Aram Dermenjian	Left Regular Bands
Mar 5	Mike Zabrocki	Super Coinvariants I’ll define k-obstructed super-monomials as monomials m = X_n^a*T_n^b such that * a_k + b_1 + … + b_k = k * a_i + b_1 + … + b_i < i for 1 <= i < k * a_j = b_j = 0 for j>k I’ll show how to iterate through this set and enumerate the k-obstructed monomials. Then we will try to use this iterative structure to define elements g_m such that LT(g_m) = m.
Mar 12	Nantel Bergeron	Studying 0/1-polytopes arising from simplicial complexes.
Mar 19	Aram Dermenjian	Meet-semilattice left regular bands and a diversion We will present a theorem on when the face poset of a left regular band is a meet-semilattice and why this theorem is not satisfactory. If time allows we will talk about a certain diversion.

Notes.

• Unless otherwise indicated, the seminar meets on Fridays at 3:30 pm ONLINE Zoom meeting . This is in collaboration with the Fields Institute.
• If you are interested in speaking at the seminar, contact Nantel Bergeron.
• You may also be interested in the Applied Algebra Seminar (Monday afternoons at York University).

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