Discrete Math Seminar: Foster Tom

  • Date: 11/07/2017
  • Time: 16:00
Lecturer(s):
Foster Tom, UBC
Location: 

University of British Columbia

Topic: 

Near-equality of ribbon Schur functions

Description: 

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