Operating Systems Courses

Fields Institute

Modelling Coupled Social-Climate Systems and Using Data-Driven Dynamical Systems

Explore innovative approaches to modeling complex social-climate interactions using data-driven dynamical systems, offering insights into sustainable solutions and policy implications.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

From Hacking Systems to Hacking the World - How to Redefine Potential

Inspiring journey of a young hacker turned entrepreneur, showcasing the power of challenging oneself, embracing potential, and using technology to make a positive impact on society.

• YouTube
• 16 minutes
• Self-Paced
• Conference Talk

International Centre for Theoretical Sciences

Dynamical Systems Applied to Biology - Part 1

Explore dynamical systems in biology, focusing on applications and mathematical approaches to understand complex biological processes and phenomena.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Topological Time Series Analysis for Hurricanes and Dynamical Systems

Explore topological data analysis applications in studying hurricane satellite imagery and dynamical system bifurcations using persistent homology and zigzag persistence techniques.

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

Applied Algebraic Topology Network

Effective Computation of Spectral Systems and Relation With Multi-Parameter Persistence

Explore algorithms for computing spectral systems in Computational Algebraic Topology, their implementation in Kenzo, and applications to multi-parameter persistence, including spaces of infinite type.

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

Applied Algebraic Topology Network

Linear Obstacles in Linear Systems and Ways to Avoid Them

Explore topology in control theory, focusing on obstacle-avoiding paths and cohomology rings using homotopy limits. Gain insights into theoretical computer science applications.

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

International Mathematical Union

On the Complexity of Quantum Many Body Systems

Explores recent advancements in representing and computing ground states of 1D quantum systems efficiently using concepts from quantum computation and information theory.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

International Mathematical Union

Lower Bounds on the Top Lyapunov Exponent of Stochastic Systems

Explore lower bounds on top Lyapunov exponents in stochastic systems, examining mathematical techniques and implications for understanding system behavior and stability.

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

International Mathematical Union

Spin Systems with Hyperbolic Symmetry

Explore spin systems with hyperbolic symmetry, their origins, applications in probabilistic models, recent findings, and open questions in this advanced mathematical discussion.

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

International Mathematical Union

Classification of Gapped Ground State Phases in Quantum Spin Systems

Explore quantum spin systems and gapped ground state phases with Yoshiko Ogata's in-depth analysis of classification methods and theoretical frameworks.

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

International Mathematical Union

Algebraic-Geometrical Methods in the Theory of Integrable Systems

Explore algebraic-geometrical methods in integrable systems theory with renowned mathematician Igor Krichever, delving into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

International Mathematical Union

Mixing Time and Cutoff for One Dimensional Particle Systems

Explores quantitative aspects of Markov chain convergence, focusing on mixing time and cutoff phenomenon in simple exclusion processes and random walks on the simplex.

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

International Mathematical Union

Control Theory of Stochastic Distributed Parameter Systems - Some Recent Progresses

Recent advancements in stochastic distributed parameter control systems, focusing on controllability of hyperbolic equations and Pontryagin-type maximum principle for controlled stochastic evolution equations.

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

International Mathematical Union

Reachable States for Infinite Dimensional Linear Systems - Old and New

Explore reachable states in infinite dimensional linear systems, examining both established concepts and recent developments in mathematical control theory.

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

International Mathematical Union

David Loeffler, Sarah Zerbes - Euler Systems and the Bloch-Kato Conjecture for Automorphic

Explore Euler systems and the Bloch-Kato conjecture in relation to automorphic forms, delving into advanced mathematical concepts and their applications.

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