The Scientific board and the Organizing Commitee Welcome You to the FIFTH edition of the DomoSchool, the International Alpine School in Mathematics and Physics  in Domodossola. Domoschool 2024 Edition will consists of FOUR courses for a total of 20 hours and it has been organised with the support of FONDAZIONE CRT, Comune Domosdossola, INDAM - GNSAGA,  I.N.F.N.

The Domoschool 2024 edition will focus on modern mathematical methods for calculating Feynman integrals and scattering amplitudes.

The courses will provide an introduction to the following topics:

-basic notions of Riemann surfaces, homology, and bilinear Riemann relations;

-intersection theory for twisted homology and cohomology;

-linear algebra for Feynman integrals, and finite fields arithmetic;

-Euler-Mellin Integrals, maximum likelihood, and Landau determinants.

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.

Topics:

• basic notions of Riemann surfaces, homology, up to the bilinear Riemann relations;
• intersection theory for twisted homology and cohomology;
• decomposition algorithms in Master Integrals, based on methods over finite fields;
• Euler-Mellin Integrals, maximum likelihood, and Landau determinants.

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.