Laurent Saloff-Coste - Breaking Heat Kernel Estimates Into Pieces
Breaking heat kernel estimates on Riemannian manifolds by analyzing pieces separately and reconstructing the whole. Explores Brownian motion within segments and transitions between them.
Slow Time-Scale Behavior of Fast Microscopic Dynamics - IPAM at UCLA
Explores computational methods for understanding slow time-scale behavior of rapid microscopic dynamics, with applications in materials modeling and plasticity. Presents theory and examples for coarse-graining complex systems.
What Is a Random Surface?
Explore the theory of random surfaces, from finite triangles to complex mathematical constructs. Discover connections to physics, probability, and geometry through accessible explanations and visual illustrations.
Lagrange Multiplier Functionals
Explore Lagrange multiplier functionals in mathematics and physics, focusing on Rabinowitz' action functional in symplectic geometry and its applications in string topology and closed geodesics.
Lieb-Thirring Inequalities: What We Know and What We Want to Know
Explore Lieb-Thirring inequalities, their applications in mathematical physics, PDEs, and functional analysis, and recent developments in harmonic analysis with orthonormal functions.
Numerical Analysis - Binary Neutron Stars - IPAM at UCLA
Explore numerical modeling of binary neutron star mergers, covering hydrodynamics, MHD equations, and simulation methods. Learn about gravitational waves, gamma-ray bursts, and r-process elements.
Symmetry Protected Topological Phases, Cobordism, and QCA - IPAM at UCLA
Explore advanced concepts in topological phases of matter, including cobordism classification, SPT phases, and quantum cellular automata in this graduate-level lecture by Lukasz Fidkowski.
Symmetry Protected Topological Phases - IPAM at UCLA
Explore symmetry protected topological phases in 1D, 2D, and 3D through examples and models. Understand their relation to group cohomology in this comprehensive lecture by Xie Chen.
The Universe from a Single Particle - IPAM at UCLA
Explore the mathematical foundations of topological phases of matter and their implications for understanding the universe through a single particle perspective.
The Geometry of Geometries - Matroid Theory, Old and New
Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
Phase Separation in Heterogeneous Media
Explores variational models for fluid-fluid phase transitions with small-scale heterogeneities, examining interactions between homogenization and phase separation, and their effects on interfacial energy and large-scale behavior.
Patricia Gonçalves- On Hydrodynamic Limits of Fractional PDEs From Stochastic Interacting
Explores hydrodynamic limits of fractional PDEs derived from stochastic interacting particle systems, focusing on recent advances in scaling limit procedures and boundary conditions.
Yiannis Sakellaridis- Spherical Varieties, Functoriality, and Quantization
Explore spherical varieties, functoriality, and quantization in algebraic geometry and representation theory with Yiannis Sakellaridis' advanced mathematical lecture.
Charles Smart - Unique Continuation for Lattice Schrodinger Operators
Explore unique continuation for lattice Schrodinger operators with Charles Smart, delving into advanced mathematical concepts and their applications in quantum mechanics.
Homological Knot Invariants from Mirror Symmetry
Explore homological knot invariants through the lens of mirror symmetry, delving into advanced mathematical concepts and their interconnections in topology and geometry.
Hiroshi Iritani: On Decompositions of Quantum Cohomology D-Modules
Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.
Eigenvalue Problems and Error Control - IPAM at UCLA
Explore eigenvalue problems and error control in quantum mechanics, focusing on advanced mathematical and statistical techniques for solving complex computational challenges.
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.
Exact Results for Metallic Quantum Critical Points - Hart Goldman
Exploring exact solutions for metallic quantum critical points, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.
Visualizing the Origin of Bulk Metallicity in the Topological Kondo Insulator SmB6 - Harris Pirie
Exploring the interplay of topology, symmetry, and interactions in SmB6, this talk visualizes bulk metallicity origins in topological Kondo insulators, advancing understanding of correlated topological phases.
Flat Bands in Kagome Lattice Metals - Linda Ye
Exploring flat bands in kagome lattice metals, focusing on the interplay between topology, symmetry, and interactions in condensed matter physics. Discusses recent advancements and their implications for understanding electronic properties.