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Extended Abstracts GEOMVAP 2019

Geometry, Topology, Algebra, and Applications; Women in Geometry and Topology

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Maria Alberich-Carramiñana

    1. Departament de Matemàtiques and Institut de Robòtica i Informàtica Industrial (CSIC-UPC), Universitat Politècnica de Catalunya, Barcelona, Spain

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  2. Guillem Blanco

    1. Department of Mathematics, KU Leuven, Leuven, Belgium

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  3. Immaculada Gálvez Carrillo

    1. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

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  4. Marina Garrote-López

    1. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

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  5. Eva Miranda

    1. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

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Part of the book series: Trends in Mathematics (TM, volume 15)

Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)

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Table of contents (24 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. \(\mathbb {Q}\)-Hilbert Functions of Multiplier and Test Ideals

    • Josep Àlvarez Montaner, Luis Núñez-Betancourt
    Pages 1-6

  3. Up-to-Homotopy Algebras with Strict Units

    • Agustí Roig
    Pages 7-13

  4. Multisymplectic Lagrangian Models in Gravitation

    • Jordi Gaset, Narciso Román-Roy
    Pages 15-21

  5. Computing the Distance to the Stochastic Part of Phylogenetic Varieties

    • Marina Garrote-López
    Pages 23-27

  6. Generating Embeddable Matrices Whose Principal Logarithm is Not a Markov Generator

    • Jordi Roca-Lacostena
    Pages 29-33

  7. Hamilton-Jacobi Theory and Geometric Mechanics

    • Xavier Gràcia
    Pages 35-41

  8. Legendrian Knots in Contact 3-Manifolds

    • Sinem Onaran
    Pages 43-47

  9. Topological Degree and Periodic Orbits of Semi-dynamical Systems

    • Pablo Amster, Melanie Bondorevsky
    Pages 49-52

  10. Presentation of Symplectic Mapping Class Group of Rational 4-Manifolds

    • Daria Alekseeva
    Pages 53-58

  11. On Several Classes of Ricci Tensor

    • Maryam Samavaki, Jukka Tuomela
    Pages 59-64

  12. Rank Conditions on Phylogenetic Networks

    • Marta Casanellas, Jesús Fernández-Sánchez
    Pages 65-69

  13. A Contact Geometry Approach to Symmetries in Systems with Dissipation

    • Jordi Gaset
    Pages 71-75

  14. Dimension Formulas for the Cohomology of Arithmetic Groups

    • Matias V. Moya Giusti
    Pages 77-82

  15. Do Overtwisted Contact Manifolds Admit Infinitely Many Periodic Reeb Orbits?

    • Cédric Oms
    Pages 83-88

  16. Topological Radiomics (TOPiomics): Early Detection of Genetic Abnormalities in Cancer Treatment Evolution

    • Debora Gil, Oriol Ramos, Raquel Perez
    Pages 89-93

  17. Mixed Multiplier Ideals and the Topological Type of a Plane Curve

    • Ferran Dachs-Cadefau
    Pages 95-100

  18. Geometry of Non-holonomic Distributions

    • Miguel-C. Muñoz-Lecanda
    Pages 101-107

  19. What If It Contains a Linear Subspace?

    • Paola Supino
    Pages 109-114

  20. Reeb Embeddings and Universality of Euler Flows

    • Robert Cardona, Eva Miranda, Daniel Peralta-Salas, Francisco Presas
    Pages 115-120
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Keywords

About this book

This book comprises an overview of twelve months of intense activity of the research group Geometry, Topology, Algebra, and Applications (GEOMVAP) at the Universitat Politècnica de Catalunya (UPC). Namely, it contains extended abstracts of the group meeting in Cardona and of the international Workshop of Women in Geometry and Topology aligned with a series of workshops in the topic. As such, it includes a panoramic view of the main research interests of the group which focus on varieties and manifolds from the algebraic, topological and differential perspective with a view towards applications.




The GEOMVAP group has a long tradition working on various interfaces of algebra, geometry and topology. In the last decade, the group has become active contributor in interdisciplinary science and it is now focused on both a theoretical point of view and the transversal applications to several disciplines including Robotics, Machine Learning, Phylogenetics, Physics and Celestial Mechanics. The increasing interdisciplinarity of modern research and the fact that the boundaries between different areas of mathematics are vanishing, with a constant transfer of problems and techniques between them, makes it difficult to progress without a multidisciplinary approach. GEOMVAP gathers together experts in Algebraic, Symplectic and Arithmetic Geometry to stimulate the interaction between them and to allow the study of each object from different points of view. The book aims at established researchers, as well as at PhD and postdoctoral students who want to learn more about the latest advances in pure and applied Geometry and Topology.

Editors and Affiliations

  • Departament de Matemàtiques and Institut de Robòtica i Informàtica Industrial (CSIC-UPC), Universitat Politècnica de Catalunya, Barcelona, Spain

    Maria Alberich-Carramiñana

  • Department of Mathematics, KU Leuven, Leuven, Belgium

    Guillem Blanco

  • Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Immaculada Gálvez Carrillo, Marina Garrote-López, Eva Miranda

Bibliographic Information

  • Book Title: Extended Abstracts GEOMVAP 2019

  • Book Subtitle: Geometry, Topology, Algebra, and Applications; Women in Geometry and Topology

  • Editors: Maria Alberich-Carramiñana, Guillem Blanco, Immaculada Gálvez Carrillo, Marina Garrote-López, Eva Miranda

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-84800-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Softcover ISBN: 978-3-030-84799-9Published: 05 December 2021

  • eBook ISBN: 978-3-030-84800-2Published: 04 December 2021

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: X, 151

  • Number of Illustrations: 8 b/w illustrations, 7 illustrations in colour

  • Topics: General Algebraic Systems, Topology

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