Hodge Numbers in Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge numbers in non-algebraic complex manifolds. Discover enriched perspectives in this collaborative research presentation.
Hodge Structures and Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge Theory generalizations in this advanced mathematics colloquium, featuring insights from collaborative research in non-commutative spaces.
Inferring and Characterizing Neuronal Connectivity with Deep Geometry and Topology
Exploring novel geometric and topological methods to decode neural connectivity rules in C. elegans, revealing insights into embryonic development and nervous system architecture.
Architectural Constraints on Recurrent Network Dynamics
Explore how network architecture influences and constrains dynamics in recurrent neural networks, focusing on threshold-linear models and their implications for understanding connectomes in neural computation.
The Geometry of Relativity and GPS Technology
Explore the fascinating intersection of GPS technology and Einstein's relativity theories, uncovering how these scientific principles ensure accurate global positioning in our everyday lives.
Manin Pairs and Moment Maps Revisited
Explore advanced concepts in Hamiltonian geometry, focusing on Manin pairs and moment maps, with insights from University of Toronto's Eckhard Meinrenken.
Dynamical Horizons and their Applications - Lecture 2
Explore dynamical horizons in gravitational physics, focusing on applications and recent developments in black hole research and gravitational wave observations.
The Secrets of Einstein's Unknown Equation - Spacetime Curvature and General Relativity
Explore Einstein's lesser-known equation on spacetime curvature, its significance in general relativity, and its applications in understanding gravity, black holes, and the universe's structure.
Gaussian Free Field and Schramm-Loewner Evolution - Part 2
Explore Gaussian free field and Schramm-Loewner Evolution in random geometry. Discover connections between these canonical objects and their applications in statistical physics and conformal field theory.
Embeddings and Statistical Mechanics in Planar Ising Models - Part 1
Explore connections between criticality, exact solvability, and geometric embeddings in planar Ising models through this advanced statistical mechanics lecture at UCLA's IPAM.
Topology of the Fermi Sea
Explore the Fermi sea's topology, its quantized responses, and correlation functions. Discover how topological invariants manifest in entanglement and distinguish Fermi liquid phases.
Topological Gapped Phases in Twisted Bilayer Systems - Emil Prodan
Explore topological gapped phases in twisted bilayers through mass-spring systems, revealing Hofstadter-like spectra and novel quantized effects in non-commutative geometry.
From Random Tilings to Integrable Vertex Models - Part 2
Explore integrable vertex models, their applications to random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.
From Random Tilings to Integrable Vertex Models - Part 1
Explore integrable vertex models, their applications in random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.
S-embeddings and Discrete Maximal Lorentz Surfaces
Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.
Dimers on a Riemann Surface and Compactified Free Field
Explore dimer models on Riemann surfaces, height function convergence, and connections to compactified free fields. Gain insights into probabilistic methods and discrete complex analysis in statistical mechanics.
On Pfaffians in Spin Models
Explore Pfaffian relations in spin models, focusing on Ising models on planar graphs and their correlation functions. Discover insights into ferromagnetic spin models and graph simplifications.
Classification of Disordered Insulators in One Dimension
Explore mathematical aspects of disordered topological insulators, focusing on 1D classification and the application of algebraic topology to quantum mechanical Hamiltonians.
Classification of Disordered Insulators in One Dimension
Explore mathematical aspects of disordered topological insulators, focusing on 1D classification and the application of algebraic topology to quantum mechanical Hamiltonians.
Bulk Scaling Limits in Free Boundary Schur Process
Exploring correlation functions and bulk scaling limits in free boundary Schur process, with insights on new deformations of universal distributions in statistical mechanics.
Geometry of the Doubly Periodic Aztec Dimer Model
Explore the geometry of the doubly periodic Aztec diamond dimer model, including arctic curves, amoeba, and local fluctuations in statistical mechanics and discrete geometry.