Slava Naprienko (part1) 'So many Schur functions!'
Channel: Schubert Seminar
Date: 2023-04-09

Title: So many Schur functions!
Description:  I will talk about the (never ending) generalizations of the Schur functions:
- Classical Schur functions = Schubert classes in the cohomology ring of the Grassmannian
- Factorial Schur functions = Schubert classes in the equivariant cohomology ring of the Grassmannian
- Dual Schur functions = Schubert classes in the equivariant homology ring of the Grassmannian
- A new family of Schur functions = ???

In the first part of the talk, I will discuss different ways to represent Schur functions and their potential for generalization. During the second part, I will introduce a new family of Schur functions that generalizes and unifies all previously mentioned Schur functions.