# Logarithmic concavity of Schur and related polynomials

## TL;DR

This paper proves that normalized Schur polynomials are strongly log-concave, leading to a proof of Okounkov's conjecture for a specific case of Littlewood-Richardson coefficients, advancing understanding in algebraic combinatorics.

## Contribution

It establishes the strong log-concavity of normalized Schur polynomials and confirms Okounkov's conjecture for Kostka numbers, a special case of Littlewood-Richardson coefficients.

## Key findings

- Normalized Schur polynomials are strongly log-concave
- Proof of Okounkov's log-concavity conjecture for Kostka numbers
- Advances in algebraic combinatorics and representation theory

## Abstract

We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.