Institute for Pure & Applied Mathematics (IPAM) Courses

Topology of Moduli Spaces of Topological Theories and Applications to Codes

Explore moduli spaces of topological theories, their homotopy types, and applications to Hastings-Haah floquet codes in quantum error correction and quantum gravity.

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

Quantum Error Correcting for Gravity in the Large-N Limit - IPAM at UCLA

Explore quantum error correcting codes for large-N limit theories, focusing on gravitational duals and emerging features. Covers asymptotic operator algebra results and information theoretic constraints.

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

Unique Games Hardness of Quantum Max-Cut and Conjectured Vector-Valued Borell Inequality

Explore quantum max-cut problems, unique games hardness, and vector-valued Borell's inequality in this advanced theoretical computer science and mathematics talk by John Wright.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Scrambling Time and Black Holes - Green Family Lecture at IPAM at UCLA

Explore the intriguing connection between scrambling time and black holes in this lecture by renowned physicist Peter Shor, delving into quantum information theory and its implications for understanding cosmic phenomena.

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

No-Go Result for Implementing Chiral Symmetries by Locality-Preserving Unitaries

Explores limitations in implementing chiral symmetries using locality-preserving unitaries for fermionic lattice models, with implications for quantum error correction and quantum gravity.

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

Classical Topology and Quantum Complexity - IPAM at UCLA

Explore the intersection of classical topology and quantum complexity, focusing on computational challenges in determining homology groups and their implications for quantum mechanics and data analysis.

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

Hamiltonian Simulation Meets Holographic Duality - IPAM at UCLA

Explore connections between Hamiltonian simulation and AdS/CFT duality, uncovering universal quantum Hamiltonians and extending toy models to include energy scales and dynamics in quantum gravity.

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

Making the Leap to Quantum PCPs - IPAM at UCLA

Explore quantum PCPs, NLTS conjecture, and quantum error-correcting codes. Discover connections to quantum complexity theory and future research directions in this intuition-focused talk.

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

Toward Equity in Travel Demand Modeling

Explore innovative approaches to incorporate equity considerations in travel demand modeling, addressing transportation disparities and promoting fair access to mobility resources.

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

Role of Subjective Equity Standards for Transportation Analysis and Planning

Explores subjective equity in transportation, analyzing community perspectives on fairness in transit systems. Highlights the importance of incorporating personal experiences and attitudes into transportation policy and planning.

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

Modeling Neighborhood Change

Explore mathematical modeling of gentrification and neighborhood change, examining impacts of zoning policies and transit amenities on urban dynamics and residential decision-making.

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

Welfare Economics and Supporting Appropriate Consideration of Equity in Transportation

Explore welfare economics and its role in addressing equity in transportation, focusing on objective functions for critical supply allocation and disaster relief modeling.

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

Equitable Access to Education: Transportation and Logistics Problems in Public Schools

Explore innovative approaches to create realistic school district datasets for transportation and logistics research, addressing equity challenges while respecting student privacy and data protection laws.

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

Accessibility-Based Ethics-Aware Transit Design

Explore ethical principles in transit design, focusing on accessibility and equity. Learn how utilitarian and egalitarian approaches impact transit planning and their effects on disadvantaged populations.

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

Three Approaches to Fair Operation, Access, and Design of Transportation Systems

Explores fairness in transportation systems through work distribution, railway infrastructure access, and network design using preferences, auctions, and game theory approaches.

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