HyperComplex Seminar Courses

Towards Physical AI - Bridging the Gap Between Artificial and Natural Intelligence

Explore the future of AI and robotics, comparing artificial agents to natural intelligence and discussing potential paradigm shifts for more adaptive and efficient systems.

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

Temperature-Dependent Resistance Modulation in Niobium Films on Nickel Dot Arrays - Insights into Superconductivity

Explore temperature-dependent resistance in niobium films on nickel dot arrays, revealing unique superconductivity patterns and potential applications in quantum device engineering.

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

On a New Subclass of Univalent Functions

Explore a new analytic criterion for univalence of typically-real functions, examining geometric properties and defining a subclass of univalent functions with notable examples and extremal cases.

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

Solving Routing Problems Using Quantum and Hybrid Algorithms

Explore quantum and hybrid algorithms for solving NP-hard routing problems, comparing them with classical solvers and discussing future research directions.

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

GRACYASK: Graphs, Cycles, and Skyrmions in Discrete Trivial Fiber Bundles

Explore topological structures in higher dimensions, focusing on Skyrmions and Hopons. Gain insights into their potential applications in material science and biological processes, bridging theoretical physics with practical advancements.

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

Euler and Schrödinger Equations - Turning Points in Complex Mathematics and Physics

Explore the historical impact of Euler and Schrödinger on complex mathematics and quantum mechanics, from algebraic beginnings to modern applications in quantum chemistry.

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

Superconducting Single-Photon Detectors: Twenty Plus Years of Development and Applications

Explore superconducting single-photon detectors' evolution, physics, and applications in quantum communication, medical imaging, and VLSI testing over the past two decades.

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

Sigma-Monogenic Functions in Commutative Algebras

Explore sigma-monogenic functions in commutative algebras, delving into their properties, applications, and connections to harmonic mappings and pseudoanalytic function theory.

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

Smooth Continuations of Gradients for Biharmonic Functions via Monogenic Functions

Explore smooth continuations of gradients for biharmonic functions using monogenic functions in biharmonic algebra. Discover necessary and sufficient conditions for gradient continuation across smooth curves.

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

Successful and Timely Uptake of Artificial Intelligence in Science in the EU

Explore AI's impact on EU scientific research, focusing on key areas like health and sustainability. Learn about proposed initiatives and ethical considerations for responsible AI integration.

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

On Weak 1-Semiconvexity of Open Sets in Euclidean Spaces

Explore weak 1-semiconvexity in Euclidean spaces, examining its properties, connections to linearly accessible domains, and implications for set disconnectedness in higher dimensions.

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

Recovering Bicomplex Holomorphic Functions Without Cauchy-Riemann Equations

Explore advanced techniques for recovering bicomplex holomorphic functions without using Cauchy-Riemann equations, focusing on complex harmonic functions and their applications in hypercomplex analysis.

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

Engineering Resonant Metasurfaces for Photonic Applications

Explore engineering approaches for resonant metasurfaces in photonics. Learn about 2D nanostructures, their applications, and novel design methods for enhanced light-matter interactions and specific optical functionalities.

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

Chimera States for Coupled Pendula

Explore chimera states in coupled pendula systems with Prof. Tomasz Kapitaniak's insightful seminar on complex synchronization phenomena.

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

The Divergence Theorem for Vector Fields - Applications and Generalizations

Explore the divergence theorem's applications in PDEs, geometry, physics, and engineering, including proofs of Archimedean principle and multidimensional Pythagorean theorem.

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