Summer School:
p-adic Cohomology and Explicit Arithmetic

July 6–10, 2026
Dipartimento di Matematica, Università di Genova
Genova, Liguria, Italy
About the Summer School

The goal of this summer school is to demonstrate how p-adic cohomology can be applied to solve explicit problems in arithmetic. It aims to make this powerful but technical subject more accessible to researchers who are interested in arithmetic but not yet familiar with p-adic cohomology, particularly Ph.D. students and young post-docs.

The school will focus on concrete applications, providing participants with a practical entry point to the theory and fostering future use of these tools in arithmetic.

Mini-courses

  • Giuseppe Ancona (Strasbourg)
    Comparison theorems, periods and applications Abstract

    TBA

  • Davide Lombardo (Pisa)
    Explicit p-adic Hodge theory for elliptic curves over Qp Abstract
    TBA

  • Margherita Pagano (Imperial College, London)
    Brauer-Manin obstruction via refined Swan conductors Abstract

    TBA

All lectures will take place at the Department of Mathematics of the University of Genoa.

Organizing Committee

Emiliano Ambrosi (Strasbourg, LYSM)

Stefano Vigni (Genova)

Sponsors

Further sponsorship acknowledgments to be added.