The Departments of Mathematics of the major Milano Universities (Università di Milano, Politecnico di Milano, Università di Milano-Bicocca and Università Bocconi) are pleased to announce the inaugural cycle of this new distinguished lecture series. Over the years to come, mathematicians of international prominence will present and discuss the most important new ideas and breakthroughs in contemporary mathematics and its applications. Each lecture should be suitable for a general mathematical audience, especially Ph.D. students and Post-docs. The inaugural cycle of lectures is scheduled to take place from early April until mid-July of 2025.
Following the colloquium, there will be a reception in the area adjacent to the lecture hall.
University of Toronto
Shimura Varieties are higher dimensional analogues of modular curves, and they play a foundational role in modern number theory. The most familiar Shimura varieties are the moduli spaces of Abelian varieties, and in this context we have a wealth of diophantine results, both in the number field and function field setting: Finiteness of S-rational points, the Tate conjecture, the Shafarevich conjecture, semisimplicity of Galois representations, and others. We focus on the exceptional setting for Shimura varieties, where the lack of a moduli interpretation makes matters more difficult. We explain some analogues of the aforementioned results. Crucial to this is the existence of canonical integral models, which we construct at almost all primes. This is joint work with Ben Bakker and Ananth Shankar.
At 16:30 in Aula Sironi of the Università di Milano-Bicocca, Edificio U4-Tellus, Piazza della Scienza 4