Systems Core Courses

Institute for Pure & Applied Mathematics (IPAM)

Stochastic Vector Methods for Extended Systems - IPAM at UCLA

Explore stochastic vector approaches for electronic structure in condensed matter systems, reducing complexity and enhancing efficiency in computational quantum mechanics.

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

Institute for Pure & Applied Mathematics (IPAM)

Message Passing Neural Networks for Atomistic Systems - Molecules

Explore message passing neural networks for molecular systems, focusing on their application in quantum mechanics and multiscale approaches to atomistic modeling.

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

Institute for Pure & Applied Mathematics (IPAM)

Second-Quantization of Many-Body Dispersion Formalism - Modeling of Million Atom Systems

Explore second-quantization of many-body dispersion formalism for modeling large-scale systems, enhancing computational efficiency and enabling analysis of interactions with surrounding environments.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

A Rigorous Framework for Embedding Realistic Interacting Quantum Systems

Explore a novel quantum embedding approach for coupling system fragments with long-range interactions, addressing limitations in current methodologies and offering systematic improvability for more reliable results.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Electrodynamic Modeling of Superconducting Quantum Systems - IPAM at UCLA

Explore quantum electrodynamic modeling of superconducting systems with Princeton's Hakan Tureci, covering multiscale approaches in quantum mechanics and their applications.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Field Theory Methods for Multiscale Description of Quantum Systems - IPAM at UCLA

Explore quantum field theory's role in multiscale phenomena, from fundamental interactions to condensed matter physics and biology. Learn about inequivalent Hilbert space representations and their applications.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Introduction to Classical and Quantum Monte Carlo Methods for Many-Body Systems

Explore classical and quantum Monte Carlo methods for many-body systems, including Metropolis algorithms, Feynman's path integral formalism, and projector Monte Carlo techniques for fermion systems.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Deep Learning Algorithm for Core-Collapse Supernova Detection

Explore deep learning algorithms for detecting gravitational waves from core-collapse supernovae, enhancing multi-messenger astronomy and uncovering insights into extreme cosmic events.

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

Institute for Pure & Applied Mathematics (IPAM)

Multi-Dimensional Modeling of Core-Collapse Supernovae - IPAM at UCLA

Explore 3D modeling of core-collapse supernovae, focusing on neutrino and gravitational-wave signatures to unravel the long-standing mystery of the explosion mechanism.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explores quantum field theory for exotic systems, focusing on fracton phases and subsystem symmetries. Discusses challenges to traditional beliefs and examines novel approaches in 2+1 and 3+1 dimensions.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Deep Learning of Dynamical Systems for Mechanistic Insight and Prediction in Psychiatry

Explore deep learning techniques for analyzing dynamical systems in psychiatry, uncovering mechanisms, and predicting outcomes using neural and behavioral data from various sources.

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

IMSA

Twistor Space for Moduli of Local Systems on Open Curves

Explore Deligne-Hitchin twistor spaces for moduli of framed local systems on open curves, examining harmonic bundles, preferred sections, and mixed twistor structures in moduli space geometry.

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

IMSA

Spectra, Dynamical Systems, and RG Flows

Exploring connections between Frobenius manifolds and dynamical systems, recasting RG flows, and relating conformal dimensions to Steenbrink spectra in theoretical physics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Products of Matrices, Non-Abelian Hodge Theory, Integrable Systems, and Theories of Class S

Explore connections between Deligne-Simpson problem and Hitchin systems, delving into SCF Theories of Class S and 3D mirror symmetry in this advanced mathematics lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

IMSA

Quantization of Moduli Spaces of Local Systems at Roots of Unity

Explore quantization of G-local system moduli spaces on decorated surfaces, discussing applications to quantum topology and quantum group representations.

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