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This book comprises an overview of twelve months of intense
activity of the research group Geometry, Topology, Algebra, and
Applications (GEOMVAP) at the Universitat Politecnica 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.
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