Parabolic Geometry Courses and Certifications

Centrum Fizyki Teoretycznej PAN

SCREAM Seminar - Symmetry, Curvature Reduction, and Equivalence Methods in Differential Geometry

Explore advanced differential geometry through Cartan and parabolic geometries, covering conformal structures, integrable systems, and applications to cosmology and quantum theory.

• YouTube
• 2 days 16 hours 39 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations - Part II

Explore quantum correlations using symplectic and algebraic geometry. Delve into entanglement, nonlocal properties, and the Einstein-Podolsky-Rosen analysis of quantum theory completeness.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations

Explore the geometric description of quantum correlations using symplectic and algebraic tools. Gain insights into quantum entanglement and its unique features distinguishing quantum from classical systems.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Dispersionless Integrable Equations and Modular Forms

Explore the connection between dispersionless integrable PDEs and modular forms, focusing on Hirota equations and first-order integrable Lagrangians. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes - Part 3

Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including mathematical foundations and applications in geometry and gravity theories.

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

Centrum Fizyki Teoretycznej PAN

Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes - Part 2

Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including mathematical foundations and applications in geometry and gravity theories.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part III

Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in various geometric structures and physical systems.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part II

Explore advanced mathematics of Noether Theorems in calculus of variations, covering symmetries, conservation laws, and variational principles. Gain insights into differential geometric structures and their applications.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles

Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in calculus of variations and differential geometry.

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

SCI MUNI

The Geometric Approach to Tractor Calculus and Its Applications - Part 1

Delve into geometric approaches to tractor calculus with Rod Gover, exploring fundamental principles and practical applications in mathematical physics and differential geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

SCI MUNI

The Geometric Approach to Tractor Calculus and Its Applications - Part 2

Delve into geometric approaches of tractor calculus with Rod Gover, exploring advanced mathematical concepts and practical applications in differential geometry and physics.

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

SCI MUNI

The Geometric Approach to Tractor Calculus and Its Applications - Part 3

Delve into advanced geometric approaches to tractor calculus, exploring theoretical frameworks and practical applications in mathematical physics and differential geometry.

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

Centrum Fizyki Teoretycznej PAN

Applications of Tractor Calculus in General Relativity - Part I

Explore tractor calculus applications in general relativity, focusing on spacetimes with specific asymptotic behaviors. Learn about conformal infinities, higher fundamental forms, and implications for cosmological models.

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