Departmental Center for Training and Research

A central role will be played by the creation of a Departmental Center for Training and Research (the Center) whose mission is to promote organization of intensive research semesters. They will be devoted to research on timely topics on pure and applied mathematics with the aim of reporting on the state of the art in a particular field and to promote new research activities. They will include:

• long-term hosting of high-level scientific guests, aimed at collaboration with the researchers of the Department;
• organization of workshops and meetings;
• PhD courses;
• sustained seminarial activity.

The first intensive research semesters will benefit of existing ERC grants in the Department and will be devoted to the following topics:

• stability and instability in fluid-dynamics and dispersive PDEs and connections with turbulence;
• methods of homological algebra in algebraic geometry;
• interacting quantum systems beyond mean-field theories: a road to understanding quantum entanglement.

The activity will continue with high level programs focusing on other topics on pure and applied mathematics, or of interdisciplinary nature.

Intensive research semesters will be of great value to create an active and collaborative environment for scientific staff and to give new perspectives for education and training of students and young researchers, as well as to promote the international visibility of the Department. The Center is equipped with a Director, a Steering Committee and an external Advisory Board which includes first-class researchers from various areas. The Center will continue its activities beyond the five-year period of the grant, as an instrument to consolidate the activity of the Department as an excellent training and research institution.