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

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