Lorentzian Polynomials

Tuesdays at 2:50 to 3:45, Skiles 005

Resources

• "Lorentzian polynomials" - Petter Brändén, June Huh
• Log-Concave Polynomials I, II, II
  • Entropy and a Deterministic Approximation Algorithm for Counting Bases of Matroids- Nima Anari, Shayan Oveis Gharan, Cynthia Vinzant
  • High-Dimensional Walks and an FPRAS for Counting Bases of a Matroid - Nima Anari, Kuikui Liu, Shayan Oveis Gharan, Cynthia Vinzant
  • Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids - Nima Anari, Kuikui Liu, Shayan Oveis Gharan, Cynthia Vinzant
• Video lectures by June Huh
  • Lecture I: The space of Lorentzian polynomials
  • Lecture II: Discrete convexity and continuous convexity: a tropical connection
  • Lecture III: Hodge-Riemann relations for Potts model partition functions and other examples
• https://mattbaker.blog/2019/08/30/lorentzian-polynomials/
• https://mattbaker.blog/2019/09/02/lorentzian-polynomials-ii-applications/
• Logarithmic concavity of Schur and related polynomials - June Huh, Jacob P. Matherne, Karola Mészáros, Avery St. Dizier