Hidden Structures on de Rham Cohomology of P-adic Analytic Varieties
Dive into hidden structures on de Rham cohomology of p-adic analytic varieties. Explore Hodge filtration, Frobenius, and monodromy in this advanced mathematical colloquium.
Isotrivial Lagrangian Fibrations of Compact Hyper-Kähler Manifolds
Explore a geometria de fibrações lagrangianas isotriviais em variedades hiperkähler compactas, incluindo tricotomia baseada na dimensão de Kodaira e busca por novos tipos de deformação.
Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry Part 1
Explores the Riemann-Hilbert correspondence in complex and p-adic geometry, discussing its historical context, mathematical foundations, and recent developments in prismatic cohomology.
Ẑ-Invariants and Universal Abelian Cover
Explore Ẑ-invariants of plumbed 3-manifolds through universal abelian covers, linking analytic invariants to topological properties. Gain insights into cutting-edge research in algebraic topology and singularity theory.
Persistence Diagram Bundles- A Multidimensional Generalization of Vineyards
Explore persistence diagram bundles, a multidimensional generalization of vineyards for analyzing topological changes in data sets with multiple parameters, including computation methods and potential applications.
Mixed Hodge Structures on Cohomology Jump Ideals
Explore mixed Hodge structures on cohomology jump ideals in representation varieties, extending Goldman and Millson's work to non-compact Kähler manifolds and variations of mixed Hodge structures.
Extension Data of Global Families of Mixed Hodge Structures - Applications to Shafarevich Conjecture
Extension data analysis in mixed Hodge structures: capturing global family invariants and proving Shafarevich's Conjecture in the nilpotent case through monodromy and level 1-2 extensions.
Structural Aspects of Fukaya Categories of LG Models
Explore Fukaya categories of Landau-Ginzburg models, monodromy, and related functors in this expository talk, covering work by Abouzaid-Seidel, Hanlon, Sylvan, Jeffs, and others.
Hidden Structures on de Rham Cohomology of p-adic Analytic Varieties
Explore hidden structures in de Rham cohomology of p-adic analytic varieties, including Hodge filtration, Frobenius, and monodromy in mixed characteristic local fields.
New Algorithms: Numerical Solution of Large Systems of Nonlinear Equations Using Monodromy
Explore a novel algorithm using monodromy to solve large systems of analytic nonlinear equations, developed during a Wolfram internship.
Modularity and Monodromy
Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.
Differential Equations and Topology in Algebraic Varieties
Explore differential equations and topology, covering algebraic varieties, De Rham cohomology, monodromy, and the Riemann-Hilbert problem in this advanced mathematical lecture.
Non-standard Orders on Torus Bundles with One Boundary
Explore non-standard bi-orderings of fundamental groups in torus bundles with one boundary, extending Perron-Rolfsen's work on standard orderings and Alexander polynomials.
Euler's Constant and Exponential Motives
Explore Euler's constant in exponential motives, examining its role in Q(-1) extensions and E-function differential equations.
On the Enclosed Volume of Constant Mean Curvature Surfaces in the 3-Sphere and Euclidean 3-Space
Explore constant mean curvature surfaces in 3D spaces, computing area and enclosed volume using flat connection invariants. Joint work insights included.
Quadratic Forms in Surface Automorphisms and Singularity Theory
Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.
From Thom's Gradient Cell Decomposition to the Curvature of Milnor Fibers
Explore Thom's gradient cell decomposition and its impact on understanding complex hypersurface singularities, polar curves, and Milnor fibers through algebraic, topological, and Lipschitz-geometric perspectives.