Combinatorics Courses and Certifications

Fields Institute

Some Properties of the Specht Polynomials

Explore key properties of Specht polynomials in algebra, geometry, and combinatorics with insights from Junzo Watanabe's research presentation at the Fields Institute workshop.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Fields Institute

Lefschetz Properties of Monomial Ideals and Mixed Multiplicities

Explore Lefschetz properties in algebra, focusing on monomial ideals and mixed multiplicities. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Fields Institute

Betti Tables Forcing Failure of the Weak Lefschetz Property

Explore Betti tables and their impact on the Weak Lefschetz Property in algebra, geometry, and topology. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Fields Institute

Totally Nonnegative Toeplitz Matrices and the Hodge-Riemann Relations

Explore the connection between totally nonnegative Toeplitz matrices and Hodge-Riemann relations in this advanced mathematics lecture, offering insights into algebraic and geometric concepts.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Fields Institute

Geproci Sets in Projective Space and Lefschetz Properties

Explore geproci sets in projective space and their connection to Lefschetz properties in this advanced mathematical talk by Lucja Farnik from Pedagogical University of Krakow.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Fields Institute

The Weddle Locus of a Finite Set of Points

Explore the Weddle locus of finite point sets, examining its algebraic and geometric properties in relation to Lefschetz theory and combinatorics.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Fields Institute

Perazzo Algebras and the Weak Lefschetz Property

Explore Perazzo algebras and their connection to the weak Lefschetz property in this advanced mathematical talk by Lisa Nicklasson from Università di Genova.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Fields Institute

The Non-Lefschetz Locus for Lines and for Conics

Explore the non-Lefschetz locus for lines and conics in algebraic geometry, examining its properties and implications in topology and combinatorics.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Fields Institute

The Strong Lefschetz Property of Artinian Gorenstein Algebras With Low Sperner Numbers

Explore the Strong Lefschetz property in Artinian Gorenstein algebras, focusing on those with low Sperner numbers. Gain insights into this advanced algebraic concept and its implications.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Fields Institute

Lefschetz Properties in the Constructible Context

Explore Lefschetz properties in constructible contexts, examining their applications in algebra, geometry, topology, and combinatorics.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Fields Institute

Jordan Type of Artinian Algebras, Finer Invariants, and Applications

Explore Jordan type of Artinian algebras, their finer invariants, and practical applications in this advanced mathematical lecture by Pedro Macias Marques.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Fields Institute

Lefschetz Properties of Random Monomial Algebras

Explore Lefschetz properties in random monomial algebras, examining their algebraic and geometric implications in this advanced mathematics talk.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Fields Institute

Connected Sums of Artinian Gorenstein Algebras and the Lefschetz Properties

Explore the intersection of algebra, geometry, and topology through connected sums of Artinian Gorenstein Algebras and their Lefschetz Properties in this advanced mathematical talk.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Simons Institute

Log-concave Polynomials and Spectral Independence - Part 2

Explore advanced concepts in log-concave polynomials and spectral independence, delving into their applications in analysis and theoretical computer science.

• YouTube
• 1 hour
• On-Demand
• Free Video

Simons Institute

Log-concave Polynomials and Spectral Independence - Part 1

Explore log-concave polynomials and spectral independence in this advanced mathematical analysis, delving into their applications in theoretical computer science.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video