Systems Core Courses

Institute for Quantum Computing

Quantum Simulation of Lattice Gauge Theories with Qudit Systems

Explore quantum simulation of lattice gauge theories using qudit systems, focusing on advanced techniques and applications in quantum computing.

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

MGH Martinos Center

BrainMap: An Epigenetic Mechanism for Differential Maturation of Neural Systems Involved in Socio-Emotional Development

Explore epigenetic mechanisms influencing neural system maturation and socio-emotional development. Gain insights into cutting-edge research on brain development and behavior.

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

The Julia Programming Language

cadCAD.jl - A Modeling Library for Generalized Dynamical Systems

Explore generalized dynamical systems modeling with cadCAD.jl. Learn to simulate complex systems, evolve data structures, and gain iterative insights for enhanced system engineering and data science workflows.

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

Xanadu

The Future of Quantum Computing - Exploring Fault-Tolerant Systems and Practical Applications

Explore the future of quantum computing, its potential applications, and the impact of fault-tolerant systems with Xanadu's CEO Christian Weedbrook.

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

Schmid College, Chapman University

Linear Systems and Differential Equations in Random Matrix Theory

Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.

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

Institut des Hautes Etudes Scientifiques (IHES)

Grounding Large Language Models in Execution - From Code Generation to Formal Systems

Explore new training paradigms for grounding large language models in execution feedback, focusing on code generation and Lean proofstep prediction to bridge informal and formal LLM usages.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Local Systems and Higgs Bundles in p-adic Geometry

Explore the algebraic nature of local systems and Higgs bundles in p-adic geometry, drawing parallels to complex varieties and characteristic p counterparts.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Characteristic Classes of Étale Local Systems

Explore characteristic classes of étale Z_p-local systems on algebraic varieties, their relation to Chern-Simons classes, and connections to Hodge filtration in p-adic settings.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Pure Local Systems Over Local Fields

Explore pure l-adic local systems on varieties over p-adic local fields, focusing on analogs of variations of pure Hodge structures and tilting approaches to open problems.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Global Solutions to Quadratic Systems of Stochastic Reaction-Diffusion

Explorez les solutions globales des systèmes quadratiques de réaction-diffusion stochastique en dimension deux, avec un accent sur les perturbations à quatre espèces.

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

Institut des Hautes Etudes Scientifiques (IHES)

Scaling Limits of Disordered Systems

Explore scaling limits of disordered systems, focusing on the Poland-Scheraga model for DNA denaturation and its phase transition effects.

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

Institut des Hautes Etudes Scientifiques (IHES)

The Nullstellensatz and Positivstellensatz for Sparse Tropical Polynomial Systems

Explorez les avancées en algèbre tropicale, notamment le Nullstellensatz et le Positivstellensatz pour les systèmes polynomiaux tropicaux clairsemés, avec des applications aux jeux à paiement moyen paramétrique.

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

Institut des Hautes Etudes Scientifiques (IHES)

DT Invariants and Holomorphic Curves in Complex Integrable Systems

Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, focusing on mirror symmetry and applications in enumerative geometry.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 3

Explore recent advances in classifying gapped lattice systems and their implications for quantum matter phases, focusing on Short-Range Entangled phases and higher Berry classes.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 2

Explore advanced concepts in topological phases of quantum lattice systems, including higher Berry classes, SRE phases, and their classification using TQFT and homotopy groups.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Video