On generating functions of finitely presented operads

Speaker
Anton Khoroshkin
Date
19/01/2014 - 12:00Add to Calendar 2014-01-19 12:00:00 2014-01-19 12:00:00 On generating functions of finitely presented operads ~~ It is well known that  the generating function of a generic finitely presented algebra is rational. The purpose of this talk is to present an answer on a similar question in the case of algebraic operads.  Namely, I will show that the generating series of a generic nonsymmetric operad is an algebraic function and the generating series of a generic symmetric operad is differentially algebraic.  Despite the motivation coming from the operad theory, a substantial part of the talk will only deal with the avoidance problems for (labeled) rooted trees hence will be accessible to nonspecialists. based on  joint work with D.Piontkovsky (arXiv:1202.5170). אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

~~ It is well known that  the generating function of a generic finitely presented algebra is rational.
The purpose of this talk is to present an answer on a similar question in the case of algebraic operads.
 Namely, I will show that the generating series of a generic nonsymmetric operad is an algebraic function
and the generating series of a generic symmetric operad is differentially algebraic.
 Despite the motivation coming from the operad theory, a substantial part of the talk will only deal with the avoidance problems for (labeled) rooted trees hence will be accessible to nonspecialists.

based on  joint work with D.Piontkovsky (arXiv:1202.5170).

תאריך עדכון אחרון : 14/01/2014