Real Algebraic Geometry Courses and Certifications

Fields Institute

Workshop on Real Algebraic Geometry and Algorithms for Geometric Constraint Systems

Explore advanced topics in real algebraic geometry, geometric constraints, and computational methods through expert presentations on frameworks, optimization, and discrete geometry.

• YouTube
• 14 hours 24 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Breaking Complexity Barriers in Real Algebraic Geometry

Explore the connections between solving polynomial equations, algorithmic complexity, and fewnomial theory in this talk on breaking complexity barriers in real algebraic geometry.

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

Fields Institute

A Convex Form That Is Not a Sum of Squares

Explore convex forms, sum of squares, and their relationship in polynomial optimization, featuring an explicit example of a convex form that challenges conventional understanding.

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

Simons Foundation

On Rationality Over the Reals

Explore advanced algebraic geometry concepts focusing on rationality problems over real number fields in this specialized mathematical research presentation.

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

Centre International de Rencontres Mathématiques

Rationality of Some Real Conic Bundle Threefolds

Explore rationality questions for real conic bundle threefolds, examining obstructions from intermediate Jacobian torsors and real loci in algebraic geometry.

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

Conference GSI

Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve

Explore advanced techniques for computing real algebraic plane curve topology without relying on general position assumptions. Gain insights into innovative mathematical approaches.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Kinematic Varieties III - Let's Get Real

Explore advanced kinematic varieties with focus on real algebraic geometry applications in particle physics and scattering amplitudes theory.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Maximal Mumford Curves and Graph Embeddings in Real Algebraic Geometry

Explore the geometric properties of MM-curves, focusing on real stable curves, hyperplane arrangements, and graph embeddings in relation to Mumford curves and their deformations.

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

International Centre for Theoretical Sciences

Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.

• YouTube
• 1 day 14 hours 25 minutes
• On-Demand
• Free Video

Harvard CMSA

Summer School in Total Positivity and Quantum Field Theory

Explore cutting-edge connections between total positivity, matroid theory, and quantum field theory through amplituhedra, cluster algebras, and scattering amplitudes in physics.

• YouTube
• 12 hours 55 minutes
• On-Demand
• Free Video

Fields Institute

Techniques of Resolution of Singularities in Quasianalytic Classes - Lecture 1

Explore advanced mathematical concepts in singularity resolution within quasianalytic classes, presented by Andre Belotto da Silva from Université de Paris.

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

Fields Institute

Polynomial Time Guarantees for the Burer-Monteiro Method

Explore polynomial time guarantees for the Burer-Monteiro method in solving large-scale semidefinite programs, focusing on smoothed analysis and its implications for optimization algorithms.

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

Fields Institute

New Directions in Cylindrical Algebraic Decomposition

Explores recent advancements in Cylindrical Algebraic Decomposition, focusing on search-based algorithms and machine learning heuristics to improve efficiency in solving polynomial constraints.

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

Fields Institute

Snappability and Singularity-Distance of Frameworks

Explore the measurement of snapping capability in frameworks using elastic strain energy density, and its connection to singular configurations. Insights on spatial structures included.

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

Institute for Pure & Applied Mathematics (IPAM)

How to Prove a Calculation Correct? - IPAM at UCLA

Explore alternative methods for proving calculation correctness, focusing on real algebraic geometry and using intermediate information as hints for proof engines.

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