Discrete Math Seminar: Foster Tom

  • Date: 11/07/2017
  • Time: 16:00
Foster Tom, UBC

University of British Columbia


Near-equality of ribbon Schur functions


Schur functions form the most interesting and important basis for the algebra of symmetric functions. They have connections to representation theory and algebraic geometry, and satisfy a multitude of beautiful combinatorial identities. We investigate an algebraic relationship between ribbon Schur functions, a generalization of Schur functions. More specifically, we consider when the difference between two ribbon Schur functions is a single Schur function. We will see that this near-equality phenomenon occurs for fourteen infinite families and we will present conditions under which these are the only possibilities.

Other Information: 

Location: ESB 4127
Tue 7 Nov 2017, 4:00pm-5:00pm