In reverse-chronological order.
Date Speaker Title (click titles for abstract) 1 November, 2013 Trueman Trueman discusses work relating Fibonacci and Lucas numbers to the homogeneous and power symmetric functions. The hook-Schur functions (another free algebraic basis of Sym) also made an appearance. The hope is to relate these objects to the ongoing study of the q-Fibolan numbers.25 October, 2013 Nantel Bergeron How to discover beautiful math in Fibo-Land Nantel discusses developments in the q-Fibolan numbers, arising from q-deforming the Fibolans and adjusting the combinatorics to match the q-enumeration.18 October, 2013 Nantel Bergeron Fibolan Nantel Bergeron presents on the 'Fibolan' numbers recently discovered by Sagan and Savage. These are a replacement of the usual integers with Fibonacci numbers in the formula for binomial coefficients. Sagan and Savage have developed a combinatorial object that these numbers count.20 September, 2013 Nantel Bergeron The Saturation Conjecture and NSym Nantel presented an approach to the saturation conjecture (which is no longer a conjecture in Sym) for NSym, using a polytope realized from the immaculate basis. He also talked about the dual quasi-Schur functions, and possibilities for creating a polytope for the relevant composition tabeleaux, which could then be used to attack the saturaation conjecture for that basis.13 September, 2013 Cesar Ceballos and tom denton Quonting Quores We present the lattice path model for computing statistics on simultaneous core partitions. The lattice path model allows us to quickly compute the skew length statistic, conjectured to be the q-statistic for simultaneous (a,b)-cores when a and b are relatively prime. We demonstrate that the skew length is symmetric in a and b.6 September, 2013 tom denton and Mike Zabrocki Organizational Session We presented problems that we're interested in working on this year.
About the seminar. Every year we pick a new topic to explore. Nantel, Mike and Oded have suggested exploring the 'categorification' of the Heisenberg-like algebra living in End(QSym) or End(NSym).