The Scientific board and the Organizing Commitee Welcome You to the SIXTH edition of the DomoSchool, the International Alpine School in Mathematics and Physics in Domodossola. Domoschool 2025 Edition will consists of FOUR courses for a total of 20 hours and it has been organised with the support of FONDAZIONE CRT, Comune di Domosdossola, I.N.F.N.

The school is usually attended by both theoretical physicists and mathematicians, and consists of 4 courses of 4-6 hours each, from Monday to Friday, with a free day devoted to visiting the local region, with a final social dinner.

The title of Domoschool 2025 is “Amplitools: mathematical methods for Particles Physics, Gravitation and Cosmology”, focusing on the rich mathematical structure emerging from Feynman integrals and scattering amplitudes in Particle Physics and String Theory, as well as from Euler-Mellin integrals and related GKZ systems in Mathematics. In particular, for this edition of the Domoschool, we would like to include the following topics:

“Introduction to the Theory of Feynman Integrals”;

“Gravitational waves: The (quantum) field theorist’s approach”

“Machine learning for theoretical particle physics”

“Algebraic Aspects of Linear PDEs”

 

The school is devoted mainly to PhD students, postdocs, and young researchers, attended both by theoretical physicists and mathematicians.

We would be very honoured if you could accept our invitation.

As in the past editions, the lecture notes of the Domoschool will be published in a book edited by Springer, to appear in the following couple of years, after the school.

 

Abstract: The last century has witnessed an explosion of scientific developments. Among the great successes of theoretical physics, the theory of General Relativity, Quantum Mechanics and the Standard Model of elementary particles stand out. In all these areas, experimental verification is crucial to support the validity of a theory or refute it. Contemporary technological advances have led to the possibility of making very high-precision measurements, in large accelerators (CERN, Stanford, etc.) for the Standard Model, LIGO-Virgo and large space missions for General Relativity and almost every laboratory for classical or quantum physics.

One of the main challenges of modern physics is therefore to use theoretical models to make extremely accurate predictions to be compared with experimental results. The crucial point is that, despite being very different from each other, these research areas  (and not only) seem to have a common underpinning mathematical structure which emerges through the so-called Feynman integrals, in honour of theoretical physicist and Nobel Prize winner Richard Feynman, who first invented them.

The present school aims to provide an introduction to the complex interplay between advanced mathematical methods and their fundamental role in theoretical physics. The main strategy is to determine, and then solve, sets of differential equations for the Feynman integrals, after interpreting them as integrals of suitable classes of differential forms on half dimensional cycles in (singular) manifolds determined by the integrand.

These methods are of great importance, given the complete transversality of the applications to Particle Physics, General Relativity, Gravitational Waves, Cosmology, Matter Physics, etc. The aim of the school is to give to young physicists and mathematicians the opportunity to learn both such modern mathematical tools and explicit applications to Collider Physics, Black Hole and Gravitational Wave physics, and Machine Learning methods for computing scattering amplitudes and solving differential equations.

These methods are of great importance, given the complete transversality of the applications, but being quite recent and using methods that are unusual for physicists, they are still not very available, especially to the community of young physicists and mathematicians.

The aim of the school is to introduce PhD students, postdocs and young researchers, both in mathematics and in physics, to this topic. Interaction with and among professors will be also encouraged.

Courses will be conducted at PhD level by world leading experts.

Moreover, students will have the opportunity to give 20 minutes talks presenting their research on themes related to the main topics of the courses.

Informal discussions will be strongly encouraged, and specific time slots (short talks) will be reserved for this important part of the school.

AVAILABLE PLACES

UP to 40 PLACES

EARLY PARTICIPATION FEE: € 245,00 with due payment by May 30th

REGULAR FEE: € 295,00 with due payment by June 30th

The participation Fee includes teaching material in pdf format, lunches and coffee breaks in the lecture days, Guided Tour and Gala Dinner

For late-registrations please send an e-mail directly to the Organizing committe. In case it would be possible, we will be very happy to welcome you.

SHORT-TALKS - Deadline July 4th 2025

We have a limited number of slots for 20-minute short-talks reserved to University and PhD students and young Researchers.

Titles and abstracts should be mailed to the Organizing Committee for approval by the SCIENTIFIC BOARD.

FELLOWSHIPS - Deadline June 30th 2025

In order to facilitate participation, the organization, thanks to FONDAZIONE CRT and to INFN, has provided some grants consisting of FREE HOSPITALITY (B&B in shared room) in Domodossola, for participants from July 13th to 19th.

A limited number of fellowships (up to a maximum of 20) will be assigned in priority order of arrival or indicated reasons.

The request of the grant must be made by participants filling in the REGISTRATION FORM and SENT by June 30th

MAIN SPONSORS

FONDAZIONE CRT, Città di Domodossola, I.N.F.N.