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#Cartan Geometry

Showing: 10 courses
Prague Mathematical Physics Seminar

Current Algebra and Generalised Cartan Geometry

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Dive into advanced mathematical concepts exploring current algebra and generalized Cartan geometry, examining their interconnections and applications in mathematical physics.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Applications of Tractor Calculus in General Relativity - Part I

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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.
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12 Lesons
41 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Gauss-Bonnet Formula for Renormalized Area of Minimal Submanifolds in Poincaré-Einstein Spaces

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Explore advanced geometric concepts in Gauss-Bonnet formula for renormalized area of minimal submanifolds in Poincaré-Einstein spaces. Delve into scattering theory, conformal invariants, and cutting-edge mathematical research.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part III

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Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in various geometric structures and physical systems.
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10 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part II

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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.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles

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Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in calculus of variations and differential geometry.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetric Trilinear Forms and Einstein-like Equations: From Affine Spheres to Griess Algebras

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Explore Einstein-like equations, affine differential geometry, and symmetric trilinear forms. Delve into connections between statistical structures, Weyl structures, and affine spheres. Examine metrized commutative algebras and Griess algebras.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Dispersionless Integrable Equations and Modular Forms

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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.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations

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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.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations - Part II

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Explore quantum correlations using symplectic and algebraic geometry. Delve into entanglement, nonlocal properties, and the Einstein-Podolsky-Rosen analysis of quantum theory completeness.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video