El Escorial hosts a congress on field theory geometry

12 June, 2024

The Real Centro Universitario María Cristina de El Escorial is the venue for The geometry of field theories

From June 13 to 15, 2024, the congress The geometry of field theories will be held at the Real Colegio María Cristina de El Escorial (Madrid), bringing together experts in the geometric formulation of the so-called field theory, with the aim of sharing the latest results and discussing new lines of research and applications. “The geometric formulation of field theory is a powerful mathematical framework for various physical theories, such as modified gravity, string theories and gauge theories,” relates David Martín de Diego, CSIC researcher at ICMAT and one of the organizers of the event. “The geometric approach characterizes the constraints, provides methods for reducing symmetries, integrating numerically and detecting algebraic structures for quantization,” he adds.

Among the topics covered at the meeting are recent results in geometric structures such as multisymplectic geometry, multicontact geometry and L-infinite algebras. In addition, special attention will be given to applications to field theory, including symmetry reduction, numerical methods and quantization.

The keynote speakers are Santiago Capriotti (Universidad Nacional del Sur), Katarzyna Grabowska (University of Warsaw), Frédéric Hélein (FR de Mathématiques et Institut de Mathématiques de Jussieu – Paris Rive Gauche), Alberto Ibort (ICMAT-Universidad Carlos III de Madrid), Melvin Leok (University of California San Diego, USA), Manuel de León (ICMAT-CSIC), Juan Carlos Marrero (Universidad de La Laguna) and Christian Offen (University of Paderborn, Germany).

The organizing committee is made up of David Martín de Diego (ICMAT-CSIC), Marco Castrillón (Universidad Complutense de Madrid), Jordi Gaset (CUNEF University), María Barbero (Universidad Politécnica de Madrid) and Cédric Martinez Campos (Universidad Rey Juan Carlos). The scientific committee: Narciso Román Roy (Polytechnic University of Catalonia), Silvia Vilariño (University of Zaragoza), Melvin Leok (University of California, San Diego) and François Gay-Balmaz (NTU Singapore).

The conference, which is a satellite event of the European Congress of Mathematics to be held in July in Seville, is funded by the Severo Ochoa ICMAT program, the Geometry, Dynamics and Field Theory network, and projects PID2022-137909NB-C21 and PID2021-126124NB-I00.

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