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Explore quantum information theory, computing fundamentals, and cutting-edge research through expert seminars covering entanglement, quantum networks, and computational applications.
Explore advanced differential geometry through Cartan and parabolic geometries, covering conformal structures, integrable systems, and applications to cosmology and quantum theory.
Explore the foundations of electrodynamics and relativity theory through geometric principles, Maxwell equations, and spacetime concepts in this comprehensive physics study.
Odkryj matematyczne podstawy czasoprzestrzeni, geometrię euklidesową, transformacje Lorentza, równania Maxwella i relatywistyczną fizykę w 22-godzinnym kursie prowadzonym przez prof. Kijowskiego.
Odkryj matematyczne podstawy czasoprzestrzeni i grawitacji w ramach Ogólnej Teorii Względności z prof. Jerzym Kijowskim z Centrum Fizyki Teoretycznej PAN.
Poznaj fundamenty fizyki statystycznej w 11 wykładach prof. Łukasza Turskiego z Centrum Fizyki Teoretycznej PAN. Zdobądź wiedzę o zachowaniu układów wielocząstkowych.
Odkryj podstawy mechaniki kwantowej dostosowane dla specjalistów ML - od równania Schrödingera przez qubity i bramki kwantowe po algorytm Grovera.
Master Einstein's theory through comprehensive mathematical foundations, from manifolds and tensors to Schwarzschild solutions, gravitational waves, and cosmological models.
Explore cutting-edge astrophysics research on testing gravity theories through black hole imaging and understanding relativistic jets from rapidly rotating neutron stars.
Explore how objects' own electromagnetic and gravitational fields affect their motion, from binary inspirals to effective field theory and regularization methods.
Explore asymptotic dynamics of open quantum systems, analyzing long-time behavior to identify regions where quantum advantage persists despite environmental decoherence.
Explore Bell inequalities with exact quantum bounds and their application to device-independent certification of Majorana fermions through Clifford observables and entangled states.
Discover how random quantum circuits achieve unitary designs in logarithmic depth, proving optimal scaling and enabling quantum advantages in learning physical systems.
Explore how AI transforms mathematical discovery, examining LLMs in scientific reasoning, educational tools like Jupyter Notebooks, and whether AI will surpass human mathematicians.
Explore engineering topological phases in lattices using ultracold atoms with orbital angular momentum. Discover complex tunneling amplitudes and their applications in quantum systems.
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