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#Monodromy

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University of Chicago Department of Mathematics

Hidden Structures on de Rham Cohomology of P-adic Analytic Varieties

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Dive into hidden structures on de Rham cohomology of p-adic analytic varieties. Explore Hodge filtration, Frobenius, and monodromy in this advanced mathematical colloquium.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Isotrivial Lagrangian Fibrations of Compact Hyper-Kähler Manifolds

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry Part 1

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Explores the Riemann-Hilbert correspondence in complex and p-adic geometry, discussing its historical context, mathematical foundations, and recent developments in prismatic cohomology.
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19 Lesons
46 minutes
On-Demand
Free-Video
IMSA

Ẑ-Invariants and Universal Abelian Cover

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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.
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9 Lesons
47 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Persistence Diagram Bundles- A Multidimensional Generalization of Vineyards

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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.
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14 Lesons
45 minutes
On-Demand
Free-Video
IMSA

Mixed Hodge Structures on Cohomology Jump Ideals

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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.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Extension Data of Global Families of Mixed Hodge Structures - Applications to Shafarevich Conjecture

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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.
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1 Lesons
33 minutes
On-Demand
Free-Video
IMSA

Structural Aspects of Fukaya Categories of LG Models

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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.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hidden Structures on de Rham Cohomology of p-adic Analytic Varieties

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Explore hidden structures in de Rham cohomology of p-adic analytic varieties, including Hodge filtration, Frobenius, and monodromy in mixed characteristic local fields.
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1 Lesons
1 hour
On-Demand
Free-Video
Wolfram

New Algorithms: Numerical Solution of Large Systems of Nonlinear Equations Using Monodromy

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Explore a novel algorithm using monodromy to solve large systems of analytic nonlinear equations, developed during a Wolfram internship.
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1 Lesons
20 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Modularity and Monodromy

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Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Banach Center

Differential Equations and Topology in Algebraic Varieties

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Explore differential equations and topology, covering algebraic varieties, De Rham cohomology, monodromy, and the Riemann-Hilbert problem in this advanced mathematical lecture.
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8 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Non-standard Orders on Torus Bundles with One Boundary

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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.
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1 Lesons
49 minutes
On-Demand
Free-Video
BIMSA

Euler's Constant and Exponential Motives

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Explore Euler's constant in exponential motives, examining its role in Q(-1) extensions and E-function differential equations.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

On the Enclosed Volume of Constant Mean Curvature Surfaces in the 3-Sphere and Euclidean 3-Space

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Explore constant mean curvature surfaces in 3D spaces, computing area and enclosed volume using flat connection invariants. Joint work insights included.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Quadratic Forms in Surface Automorphisms and Singularity Theory

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Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.
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11 Lesons
50 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

From Thom's Gradient Cell Decomposition to the Curvature of Milnor Fibers

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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.
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1 Lesons
56 minutes
On-Demand
Free-Video