From
17
Mar
Seminars and Conferences
Foundations of General-Relativistic Gauge Field Theory
From 17 to 19 March 2026 will take place a conference school entitled Foundations of General-Relativistic Gauge Field Theory. The event is hosted by the Department of Mathematical Sciences "Giuseppe Luigi Lagrange"-DISMA.
On a mathematically foundational level, the most successful physical theories (gauge field theories and general-relativistic theories, which together constitute the framework of General-Relativistic Gauge Field Theory) are based on the differential geometry of connections on principal bundles. The topic of this conference school is General-Relativistic Gauge Field Theory: its mathematical foundations, its first principle conceptual and technical development, state-of-the-art applications, and model building.
The target of the school are PhD Students and early career Post Doc, but it can extend to Young Researchers and Senior Researchers who wish to deepen their understanding of the geometric, technical and conceptual foundational aspects of General-Relativistic Gauge Field Theory.
The programme includes the following modules:
Lecturers
For more information, please visit the initiative website.
On a mathematically foundational level, the most successful physical theories (gauge field theories and general-relativistic theories, which together constitute the framework of General-Relativistic Gauge Field Theory) are based on the differential geometry of connections on principal bundles. The topic of this conference school is General-Relativistic Gauge Field Theory: its mathematical foundations, its first principle conceptual and technical development, state-of-the-art applications, and model building.
The target of the school are PhD Students and early career Post Doc, but it can extend to Young Researchers and Senior Researchers who wish to deepen their understanding of the geometric, technical and conceptual foundational aspects of General-Relativistic Gauge Field Theory.
The programme includes the following modules:
- [Module DG] Bundle Differential Geometry (DG) of Gauge Field Theory, to provide the mathematical and geometric tools underpinning classical gauge theories: Ehresmann connection and Yang-Mills Gauge Field Theory, Cartan connection and gauge gravity, twisted connections on field space and anomalies, differential geometry of field space and gauge-fixing;
- [Module SR] Symmetry Reduction (SR) schemes – in particular, the Dressing Field Method (DFM) and its relational interpretation – in General-Relativistic Gauge Field Theory, including state-of-the-art model building and applications (among which, e.g., General Relativity, Supersymmetric Field Theories, etc.);
- [Module AS] Asymptotic Symmetries (AS) and covariant phase space formalism, with applications to electromagnetism and General Relativity;
- [Module FA] Foundational Aspects (FA) of General-Relativistic Gauge Field Theory, to allow a clearer understanding of the current state of general-relativistic physics and gauge theories, starting from first principles and conceptual analysis.
Lecturers
- Philipp Berghofer, University of Graz, Austria
- Jordan François, University of Graz, Austria
- Marc Geiller, ENS de Lyon, CNRS, France
- Lucrezia Ravera, Politecnico di Torino
For more information, please visit the initiative website.