Convergence of Manifolds and Metric Spaces
Explore Riemannian manifolds, Gromov-Hausdorff and Intrinsic Flat distances, and their applications in solving stability problems in metric spaces.
Chern Classes and Indices of Vector Fields on Singular Varieties
Explore Chern classes and vector field indices on singular varieties, examining fundamental invariants in geometry and topology and their evolving theory for non-smooth spaces.
Universally Counting Curves in Calabi-Yau Threefolds
Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.
Cohomology Rings of Character Varieties
Explore cohomology rings of character varieties, including P=W conjecture proof and zero-dimensional COHA computation. Discover connections to Hilbert scheme of C^2 for punctured sphere case.
Functorial Construction of Lagrangian Floer Theory and Its Possible Applications
Explore functorial construction of Lagrangian Floer theory and its potential applications in symplectic geometry with renowned mathematician Kenji Fukaya from Stony Brook University.
How to Enhance Categories and Why - Localization and Homotopical Enhancement
Exploring alternative techniques for enhancing localized categories using Grothendieck's derivator concept, offering a conceptually clearer approach than infinity-categories or quasicategories.
Milnor Spheres - 60 Years Later
Explore Milnor Spheres through a category theory lens, examining recent findings and insights in this seminar on classical differential topology by Ludmil Katzarkov.
Chinese Remainder Theorem and Carlson's Theorem for Monoidal Triangulated Categories
Explore Carlson's connectedness theorem generalization for monoidal triangulated categories, including a Chinese remainder theorem version and Balmer support properties.
Stable Module Category for Finite Group Schemes over Commutative Noetherian Rings
Explore finite group schemes, tensor triangular analysis, and Balmer spectrum calculations in stable module categories, based on recent advancements in cohomology and representation theory.
Hodge Theory for Poisson Varieties and Nonperturbative Quantization
Explore Hodge theory for Poisson varieties and nonperturbative quantization, focusing on K-theory and mixed Hodge structures to simplify complex calculations in deformation quantization.
An Overview on Closed G2-Structures
Overview of closed G_2-structures on 7-manifolds, exploring their definition, examples, and applications in holonomy G_2-metrics. Discusses Hitchin flow equations and the Laplacian G_2-flow in compact settings.
Calabi Problem in Generalized Kahler Geometry
Explores generalized Kahler structures, their connection to Kahler manifolds with holomorphic Poisson structures, and presents an approach to the Calabi problem in this context, with focus on toric complex Poisson varieties.
Best Lipschitz Maps and Transverse Measures - Part 2
Explores best Lipschitz maps between hyperbolic surfaces, focusing on approximation methods, transverse measures, and their connection to infinitesimal earthquakes in Teichmüller theory.
Wobbly Fixed Points, Equivariant Multiplicities and U(p,q)-Higgs Bundles
Explores geometry of Higgs bundle moduli spaces, focusing on nilpotent cone fixed points and their classification. Analyzes U(p,q)-Higgs bundles and compares results with equivariant multiplicities.
Polynomial Superfunctors - Applications to Finite Supergroup Schemes
Explore polynomial superfunctors and their applications in finite supergroup schemes. Gain insights into cohomology calculations and recent developments in representation theory.
Calabi-Yau Theory in Generalized Kahler Geometry
Explore Calabi-Yau theory's extension to generalized Kahler geometry, examining connections to supergravity and geometric flow approaches for constructing solutions.
Commuting Pairs of Generalized Structures, Para-Hyper-Hermitian and Born Geometry
Explore generalized structures on manifolds, focusing on commuting pairs and their integrability. Delve into para-hyper-Hermitian and Born geometry within this context.
The Curse of the Schwarz Lantern - Exploring a Famous Mathematical Counterexample
Explore the Schwarz lantern paradox, a 3D counterexample challenging mathematical intuition. Learn about surface area misconceptions, related concepts, and real-world applications in this engaging video.
Twistor Spaces and Compact Manifolds Admitting Kähler and Non-Kähler Structures
Explore twistor spaces and compact manifolds with dual Kähler and non-Kähler structures. Discover historical examples and new findings in higher dimensions using quaternion twistor spaces of hyperkähler manifolds.
Future of Hitchin Mathematics - Round Table Discussion
Experts discuss advancements and future directions in Hitchin mathematics, exploring its impact on various mathematical fields and potential applications.
Complex Calabi-Yau Threefolds with Boundary
Explore complex Calabi-Yau threefolds with boundary, extending Hitchin's local Torelli Theorem. Discover connections to G2 structures and affine differential geometry in this advanced mathematical lecture.