GFM: Group of Mathematical Physics

Project funded by Fundação para a Ciência e a Tecnologia, I.P. (FCT) (Avaliação UID 2023/2024), grant UID/00208/2025. Funded amount: EUR 935,888, as stated by the source. Runs 2025-01-01 to 2029-12-31. Keywords: Stochastic Analysis, Schroedinger's problem and Optimal Transport, Spectral Theory of differential operators, Time-frequency analysis and quantum information, Integrable systems and Enumerative geometry, Topological quantum fields. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2026-07-23); national funding data, not CORDIS; selected because its keywords name quantum. Abstract given by the source: The Group of Mathematical Physics (GFM), https://fisica-matematica.pt/en/, has recently moved from FCUL to IST. At IST we have already multiple collaborations, that will be strengthened. We will push forward our research programs in the following areas: Integrable Systems and Geometry: they are fundamental components of Math. Physics. The area has played a pivotal role in modern mathematics and its applications across various scientific disciplines, as the study of dynamical systems with special symmetries and geometric structures offers insights into more general dynamical systems. Spectral Theory of Differential Operators: it is a classical topic in Math. Physics. We study qualitative and quantitative properties of operators such as Laplacians and Schrödinger operators, in contexts like Euclidean domains, Riemannian manifolds and quantum graphs. The analysis is complemented by developing new methods for the study of shape optimisation problems in spectral theory, with applications in classical and new problems coming from physical applications such as musical acoustics, civil and mechanical engineering. Stochastic Analysis and Optimal Transport: Stoch. analysis is the analytical study of random phenomena. We focus on topics like Feynman integral, Stoch. deformation, Stochastic Geometric Mechanics, Stoch. optimal control and SPDEs. The so-called “Schrödinger problem”, originally a variational principle, can be regarded as problem of entropy minimisation converging toward Benamou-Brenier fluid mechanical interpretation of deterministic optimal transport. This provides deep insights into fundamental questions such as curvature, geometry, functional inequalities, etc. Quantum Mechanics and Quantum Gravity: we study quantum gravity using a path-integral approach where the smooth-manifold spacetime is replaced with a piecewise linear manifold, representing a triangulation of the manifold. We are also interested in Higher Gauge Theory and in Standard quantum mechanics [shortened; the full text is on the OpenAIRE page]

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Fundação para a Ciência e a Tecnologia, I.P. (FCT). Retrieved 2026-10-28. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The Group of Mathematical Physics (GFM) is a project funded by Fundação para a Ciência e a Tecnologia with a grant of EUR 935,888, running from January 1, 2025, to December 31, 2029. It focuses on areas such as Stochastic Analysis, Spectral Theory, and Integrable Systems. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.