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Speaker: Kris Shaw (Oslo, Norway) - Combinatorial Geometry and Hodge Theory Event page: https://impa.br/evento/combinatorial-... Videos playlist: • Combinatorial Synergies in Geometry a... 24 de março a 28 de março de 2025 Combinatorial methods have been embedded in many areas of Mathematics. The synergy between Combinatorics, on the one hand, and Algebraic Geometry and Number Theory, on the other, both in its theoretical and computational aspects, is the focus of the workshop. It aims to bring together mathematicians at the beginning of their careers and specialists to enhance combinatorial methods in the study of geometric and arithmetic structures. Mini-courses: Kris Shaw (Oslo, Norway) - Combinatorial Geometry and Hodge Theory Farbod Shokrieh (Washington, USA) - Berkovich Spaces, Tropical Geometry and Number Theory Speakers: Frederico Ardila (San Francisco, USA) – Inequalities For Trees and Matroids Carolina Benedetti (Los Andes, Colombia) – Subdivisions of the permutahedron coming from lattice path matroids Ethan Cotterill (UNICAMP, Brazil) – Tropical semirings and curve singularities Alex Fink (Queen Mary, England) – Speyer’s tropical f-vector conjecture and its proof José Ignacio Burgos Gil (ICMAT, Spain) – Chern-Weil theory and Hilbert Samuel theorem for singular metrics Kiumars Kaveh (Pittsburgh, USA) – Vector-valued polynomial equations, toric vector bundles and matroids Oliver Lorscheid (Groningen, Netherlands) – Lorentzian polynomials and matroids over triangular hyperfield Marta Panizzut (Tromsø, Norway) – Positive del Pezzo geometry Lucas Reis (UFMG, Brasil) – Counting digraphs from linear finite dynamical systems Martín Sombra (Barcelona, Spain) – Toric equidistribution revisited Johanna Kristina Steinmeyer (Copenhagen, Denmark) – TBA Filippo Viviani (Roma 2, Italy) – On the classification of (universal) compactified Jacobians Presentation by Young Researchers: Bilson Castro (Instituto de Ciências Matemática (ICMAT-CSIC) - Hybrid spaces in Deligne-Mumford stacks induced by Green functions Davide Gori (Universitá di Roma – La Sapienza) - Alternative Modular Compactifications of M_{g,n} via Cluster Algebras with applications to the MMP of \overline{M}_{g,n} Enis Kaya (Katholieke Universiteit Leuven) - p-adic Integration Theories on Curves Felipe de León Saenz Angel (IMPA) - Polyhedral tiltings arising from linked nets Giusi Capobianco (Universita di Roma Tor Vergata) - On the degree of the tropical 1-fold Abel-Prym map Dante Luber (U. Frankfurt) - Singular Matroid Realization Spaces Myrla Kedynna Barbosa (UFSC) - Refinements of the uniform rank Binggang Qu (Peking University) - String polytopes and Arakelov geometry on flag varieties over function fields Scientific Committee: Matt Baker (Georgia Tech, USA) José Ignacio Burgos Gil (ICMAT, Spain) Hannah Markwig (Tuebingen, Germany) Margarida Melo (Roma Tre, Italy) Organizing Committee: Ana María Botero (Bielefeld, Germany) Eduardo Esteves (IMPA, Brazil) Roberto Gualdi (Polytècnica de Catalunya, Spain) Suely Lima (IMPA, Brazil) Marco Pacini (UFF, Brazil) Eduardo Vital (Bielefeld, Germany) Redes Sociais do IMPA: https://linktr.ee/impabr IMPA - Instituto de Matemática Pura e Aplicada © https://www.impa.br | https://impa.br/videos Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente. The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.