Bar-Ilan Algebra Seminar =========================================== Date: Wednesday, 27 Tevet 5773 // January 9, 2013 Time: 10:30 am promptly Place: Third floor seminar room, Mathematics building Speaker: Dr. Anton Khoroshkin (Stony Brook University) Title: Shuffle operads and pattern avoidance Abstract: An algebra of some type is a set with some operations on it. Let us remove the underlying set, what remains is the collection of all operations one can define. This collection with the prescribed rules of composition is what one calls an operad. In this talk I will explain the notion of operads and the theory of monomials for operads. The combinatorics of monomials in operads is governed by avoidance problems. In particular, the Hilbert series of dimensions of certain class of operads coincides with the generating series of permutations avoiding a given set of patterns. I will state several general results and conjectures about the class of generating series for monomial operads providing some computational algorithms for these series. The talk is based on joint works with V.Dotsenko, B.Shapiro and D.Piontkovsky: <http://arxiv.org/abs/1109.2690> <http://arxiv.org/abs/1202.5170 > <http://arxiv.org/abs/1009.5308> --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Michael Schein <mschein@math.biu.ac.il>