Recent Progress Towards Hadwiger’s Conjecture
Explore recent advancements in graph theory, focusing on Hadwiger's conjecture. Learn about new techniques and results that have led to significant progress in this fundamental problem of graph coloring.
Jacob Rasmussen - Floer Homology of 3-Manifolds with Torus Boundary
Explore advanced concepts in Floer homology, focusing on 3-manifolds with torus boundary. Gain insights into cutting-edge mathematical research and its applications in topology.
The Liouville Quantum Gravity Metric
Explore the construction and properties of the Liouville quantum gravity metric, a distance function for random fractal surfaces, and delve into related open problems in this mathematical presentation.
David Kazhdan- On the Langlands Correspondence for Curves Over Local Fields
Explores recent results and conjectures on automorphic functions theory for moduli spaces of bundles on curves over local fields, discussing both archimedean and non-archimedean cases.
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.
The Number of Rational Points on a Curve of Genus at Least Two
Explore the intriguing mathematical concept of rational points on higher genus curves, delving into advanced number theory and algebraic geometry.
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.
Miklós Abert- Groups, Manifolds and Graph Limits
Explore connections between groups, manifolds, and graph limits in mathematics, uncovering fascinating relationships and applications in diverse areas of study.
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.
Evgeny Feigin - PBW Degenerations, Quiver Grassmannians, and Toric Varieties
Explore connections between Lie theory, quiver Grassmannians, and flag variety degenerations, focusing on PBW filtration in highest weight representations and its impact on degenerate flag varieties.
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.
Yi Liu- Surface Automorphisms and Virtual Homological Eigenvalues
Explore recent proof on lifting pseudo-Anosov surface automorphisms to finite covers, examining homological eigenvalues outside the complex unit circle in advanced topology.
Kevin Buzzard: The Rise of Formalism in Mathematics
Explore the growing influence of formalism in modern mathematics, examining its impact on proof verification and theorem-proving technologies.
David Fisher- Rigidity and Invariant Measures Beyond Homogeneous Dynamics
Explores recent works on Zimmer's Conjecture and geodesic submanifolds, applying homogeneous dynamics tools to study invariant measures in broader contexts.
Some Properties of Sparse Sets: A Survey
Explore properties of sparse sets in mathematics, focusing on their applications and implications in various mathematical fields.
Measurable Graph Combinatorics
Explore measurable graph combinatorics with Andrew Marks, delving into advanced mathematical concepts and their applications in this insightful lecture.
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.
A Xither of Xenobots - Demolishing Dichotomous Thinking With Synthetic Proto-Organisms
Explore synthetic proto-organisms and challenge dichotomous thinking in this presentation on xenobots, offering insights into collective intelligence and biological engineering.
Variational Proofs of Isoperimetric Inequalities
Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.