دانلود کتاب Extended Abstracts GEOMVAP 2019: Geometry, Topology, Algebra, and Applications; Women in Geometry and Topology (Trends in Mathematics)

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Preface
Contents
mathbbQ-Hilbert Functions of Multiplier and Test Ideals
1 Introduction
2 mathbbQ-Good Filtrations
3 Poincaré Series of Multiplier and Test Ideals
3.1 Multiplier Ideals
3.2 Test Ideals
References
Up-to-Homotopy Algebras with Strict Units
1 Introduction and Main Result
2 Ingredients
2.1 Restriction Operations
2.2 A Kan-Like Structure
References
Multisymplectic Lagrangian Models in Gravitation
1 Introduction
2 Geometric Structures: Jet Bundles and Multivector Fields
3 Einstein–Hilbert Model (Without Sources)
4 Einstein–Palatini (Metric-Affine) Model (Without Sources)
References
Computing the Distance to the Stochastic Part of Phylogenetic Varieties
1 Introduction
2 Phylogenetic Varieties
3 Distance to the Stochastic Phylogenetic Regions
3.1 Computations and Conclusions
References
Generating Embeddable Matrices Whose Principal Logarithm is Not a Markov Generator
1 Introduction and Preliminaries
2 SS Embeddable Matrices Whose Principal Logarithm is Not a Generator
References
Hamilton-Jacobi Theory and Geometric Mechanics
1 The Perspective of Geometric Mechanics
2 Hamiltonian Mechanics and Hamilton–Jacobi Theory
3 A General Framework for Hamilton–Jacobi Equation
4 Slicing of Hamiltonian Systems
5 Slicings in Fibered Manifolds. Lagrangian and Hamiltonian Mechanics
References
Legendrian Knots in Contact 3-Manifolds
1 Definitions, Examples and Classification Results
2 Questions and Open Problems
References
Topological Degree and Periodic Orbits of Semi-dynamical Systems
1 Introduction
2 Periodic Orbits
References
Presentation of Symplectic Mapping Class Group of Rational 4-Manifolds
1 Preliminaries and Previous Results
2 Main Results
3 Sketch of the Proof
4 Some Remarks
References
On Several Classes of Ricci Tensor
1 Introduction
2 Geometry
3 Examples
References
Rank Conditions on Phylogenetic Networks
1 Introduction and Preliminaries
2 Invariants for the General Markov Model
3 Invariants for Equivariant Models
References
A Contact Geometry Approach to Symmetries in Systems with Dissipation
1 Introduction
2 Contact Manifolds and Contact Hamiltonian Systems
3 Symmetries and Dissipation Laws for Contact Hamiltonian Systems
4 Example: Motion in a Gravitational Field with Friction
References
Dimension Formulas for the Cohomology of Arithmetic Groups
1 Introduction
2 Borel-Serre Compactification
3 Eisenstein and Cuspidal Cohomology
4 Euler Characteristic
References
Do Overtwisted Contact Manifolds Admit Infinitely Many Periodic Reeb Orbits?
1 Introduction
2 Contact Geometry
3 b-Contact Manifolds
4 It Is a Trap
5 Overtwisted Disk in b-Contact Manifolds
References
Topological Radiomics (TOPiomics): Early Detection of Genetic Abnormalities in Cancer Treatment Evolution
1 Introduction
2 Methods
3 Experiments
4 Conclusions
References
Mixed Multiplier Ideals and the Topological Type of a Plane Curve
1 Introduction
2 Some Definitions
3 Topological Type
References
Geometry of Non-holonomic Distributions
1 Introduction
2 Notation, Natural Connection and Fundamental Forms
2.1 The Metric gmathcalD and the Connection mathcalD
2.2 The Second Fundamental Form (Gauss, sim1830, Reinhart, 1977, 1983)
3 Geodesics and Geodesic Invariance
3.1 Totally Geodesic Distributions
4 Other Results and Commentaries
References
What If It Contains a Linear Subspace?
1 Introduction
2 Unirational Hypersurfaces and Complete Intersections
3 Numerical Conditions for K-Linear Spaces in Complete Intersections
References
Reeb Embeddings and Universality of Euler Flows
1 Introduction
1.1 Hydrodynamics
1.2 Contact Geometry
2 Reeb Embeddings
3 Applications
References
The Continuous Rank Function for Varieties of Maximal Albanese Dimension and Its Applications
1 Statement of the Results
2 Continuous Rank Function
2.1 Set Up: Pardini\'s Covering Trick
2.2 Continuous Rank
3 Applications
3.1 BCPS Inequalities
3.2 Classification of the Limit Cases
References
Developable Surfaces with Prescribed Boundary
1 Introduction
2 The Space of Developable Surfaces
3 The Boundary of a Developable Surface
4 Future Continuation
References
Configuration Space of a Textile Rectangle
1 Introduction
2 Configuration Space of a Textile Rectangle Using 4 Points
3 Configuration Space of an N-Points Textile Rectangle
References
The 4/3 Problem for Germs of Isolated Plane Curve Singularities
1 Introduction
2 Deformation Theory
3 Solutions to Dimca and Greuel Question
References
When Is a Complete Ideal in a Rational Surface Singularity a Multiplier Ideal?
1 Introduction
2 A Reformulation of the Problem via Antinef Closures
3 Working in a Fixed Log-Resolution
4 Comparing Log-Resolutions
References