Foundations of General-Relativistic Gauge Field Theory

→ Europe/Rome
Room Buzano, at DISMA, 3rd floor (Politecnico di Torino)

Room Buzano, at DISMA, 3rd floor

Politecnico di Torino

Corso Duca degli Abruzzi, 24, 10129 Torino (TO), Italy
Lucrezia Ravera (Politecnico di Torino, Italy), Jordan François (University of Graz, Austria), Vincenzo Antonelli (Politecnico di Torino, Italy)
Description
On a mathematically foundational level, our 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 Conference School will take place at Politecnico di Torino, in Room Buzano, at DISMA (Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange"), 3rd floor, on 17-19 March 2026.

 
The program includes the following modules (18 hours of lectures in total):
 
  • [Module DG, 4.5h] 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 AS, 4.5h] Asymptotic Symmetries (AS) in General Relativity and applications to gravitational (and electromagnetic) radiation and gravitational waves physics;
  • [Module SR, 4.5h] 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 FA, 4.5h] 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, Italy)
 
The event also features a call for abstracts for oral contributions by young researchers. For more details, please see the Call for Abstracts section on this website.
 
The Registration deadline is February 6th, 2026, at 3:00 PM CEST.
The Call for Abstracts deadline is February 6th, 2026, at 3:00 PM CEST.
 
Please be aware that no funding can be provided.
 

For the lecturers and participants, attention!

No travel agency has been contacted by the organizers for logistic support, accommodation, or travel. Emails from any travel agency have to be considered fraud. Be aware! Please refer to the organizers for any questions about travel, accommodation, and other logistics. 

 

Organizing Committee: Lucrezia Ravera (Politecnico di Torino, DISAT, Italy), Jordan François (University of Graz, Austria), Vincenzo Antonelli (Politecnico di Torino, DISMA, Italy)

Sponsored by: Project GrIFOS, funded by MUR, PNRR Young Researchers funding program, MSCA Seal of Excellence (SoE), CUP E13C24003600006, PI: L. Ravera

Event hosted by DISMA (Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange"), Politecnico di Torino, Torino, Italy.

Practical info.pdf
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