Centre International de Rencontres Mathématiques Courses

Advanced Quantum Algorithms for Scientific Computing - Lecture 2

Explore advanced quantum algorithms for scientific computing, covering QLSP, QSVT, Hamiltonian simulation, and quantum differential equation solvers.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Advanced Quantum Algorithms for Scientific Computing - Lecture 1

Explore quantum algorithms for scientific computing, covering quantum states, linear algebra problems, differential equations, and advanced techniques like QSVT and VQE.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Quantum Error Correction - Lecture 1

Discover quantum error-correcting codes, their classical foundations, stabiliser codes, CSS codes, and modern quantum LDPC developments in this comprehensive mathematical lecture.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Quantum Error Correction - Lecture 2

Explore quantum error-correcting codes, stabiliser codes, and CSS codes, building from classical error correction to modern quantum LDPC developments.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Quantum Cryptography - Lecture 1

Discover quantum information fundamentals and cryptographic applications, exploring quantum key distribution protocols and security guarantees beyond classical methods.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Quantum Simulation of Partial Differential Equations via Schrodingerisation - Lecture 1

Discover how to map linear PDEs onto Schrödinger equations for quantum simulation, exploring the versatile Schrodingerisation method for efficient high-dimensional problem solving.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Quantum Cryptography - Lecture 2

Explore quantum cryptography fundamentals, quantum key distribution protocols, and emerging secure communication methods beyond classical capabilities.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Quantum Simulation of Partial Differential Equations via Schrodingerisation - Lecture 2

Discover how to map linear PDEs onto Schrödinger equations for quantum simulation, exploring Schrodingerisation methods for efficient high-dimensional problem solving.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Quantum Algorithms for Factorization and Other Problems - Lecture 1

Discover quantum algorithms for factorization, including the Quantum Fourier Transform and recent improvements by Regev, Ragavan, Vaikuntanathan, and others.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Quantum Algorithms for Factorization and Other Problems - Lecture 2

Explore quantum factorization algorithms including the Quantum Fourier Transform and recent improvements by Regev, Ragavan, Vaikuntanathan, and others in this advanced mathematics lecture.

• YouTube
• 2 hours 4 minutes
• Self-Paced
• Free Video

Dendric and Eventually Dendric Words - Lecture 1

Explore dendric sequences, their combinatorial properties, and connections to interval exchange transformations and episturmian sequences in this mathematical lecture.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Dendric and Eventually Dendric Words - Lecture 2

Explore dendric sequences and their combinatorial properties, focusing on return words and factor complexity in mathematical word theory.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

On Expansions of Monadic Second-Order Logic with Power Predicates - Lecture 1

Explore the decidability of monadic second-order logic expanded with arithmetic predicates, connecting logic and automata theory through classical and modern techniques.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

SBCW-Complexes and n-Cost

Explore advanced mathematical concepts connecting measure-preserving standard Borel groupoids, CW complexes, and n-dimensional cost theory for countable groups.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Cornered Skein Lasagna Theory

Explore cornered skein lasagna theory for 4-manifolds, extending Morrison-Walker-Wedrich's framework to detect exotic structures and analyze trisections.

• YouTube
• 53 minutes
• Self-Paced
• Free Video