Control Systems Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

International Mathematical Union

Gapped Quantum Systems

Explore gapped quantum systems with Matthew Hastings, delving into advanced mathematical concepts and their applications in quantum physics and information theory.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

High-Dimension Perspective on Extracting & Encoding Information in Chemical Systems

Explore high-dimensional data extraction and encoding in complex chemical systems, focusing on exascale computing opportunities, multiscale correlations, and challenges in feature selection and interpretability.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Identify Interactions in Complex Networked Dynamical Systems through Causation Entropy

Explore optimal causation entropy for inferring coupling structures in complex systems, with applications to functional brain networks and comparisons to correlation-based methods.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Designing Machine Learning Processes for Equitable Health Care Systems

Explore machine learning processes for creating fair and inclusive healthcare systems, focusing on addressing sex and gender biases in medical data and AI applications.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Acceleration of Quantum Mechanical Systems by Exploiting Similarity - IPAM at UCLA

Explore innovative approaches to accelerate quantum mechanical simulations by leveraging solution similarities, focusing on extended Lagrangian Born-Oppenheimer dynamics and reduced basis methods for quantum-spin systems.

• YouTube
• 41 minutes
• On-Demand
• Free Video