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Extended Abstracts GEOMVAP 2019


Extended Abstracts GEOMVAP 2019

Geometry, Topology, Algebra, and Applications; Women in Geometry and Topology
Trends in Mathematics, Band 15

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

117,69 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 04.12.2021
ISBN/EAN: 9783030848002
Sprache: englisch
Anzahl Seiten: 151

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<div><div>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.<br></div></div><div><br></div><div>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&nbsp;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.<br></div>
<p>Q-Hilbert Functions of Multiplier and Test Ideals.- Up-to-homotopy Algebras with Strict Units.- Multisymplectic Lagrangian Models in Gravitation.- Computing the Distance to the Stochastic Part of&nbsp;Phylogenetic Varieties.- Generating Embeddable Matrices Whose Principal Logarithm is not a Markov Generator.</p>
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.<div><br></div><div>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&nbsp;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.</div>

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