There will be talks in Fall 2026. The seminar will take place in Aula INdAM at 12.
2026.10.02. Tuan Ngo Dac (CNRS Université de Caen Normandie)
[Note the different time! This talk will be at 9h30.]
On the algebra of multiple zeta values
Classical multiple zeta values (MZV’s) first studied by Euler in the eighteenth century have been investigated intensively over the past four decades due to their deep connections to various branches of mathematics and physics, including arithmetic geometry, knot theory and high-energy physics. We review central conjectures on the algebra of these values and report on recent progress. We then introduce the analogues of MZV’s in positive characteristic, following the pioneering work of Carlitz and Thakur. After reviewing their basic properties and outlining the main goals of the theory, we report on several new results on their algebraic structure. This is based on joint work with Nguyen Chu Gia Vuong and Pham Lan Huong.
2026.10.23. Gergely Harcos (Rényi Institute)
On the non-spherical sup-norm problem
A central problem in analytic number theory is to estimate the sup-norm of cusp forms on various Lie groups. It is natural to consider the Lie group GL(n,R), but for n>2, the results so far were confined to cusp forms that are right-invariant under the maximal compact subgrop O(n). I will explain how to deal with more general cusp forms on GL(n,R). A key ingredient is a new uniform decay bound for generalized spherical functions. Based on recent joint work with Valentin Blomer, Péter Maga, and Djordje Milićević.
2026.10.30. Youness Lamzouri (Institut Elie Cartan de Lorraine)
2026.11.06. Alessandra Migliaccio (Università di Ferrara e Università di Parma)
Problems in additive number theory: the Goldbach conjecture and its variants
The talk is devoted to presenting some problems and techniques in additive theory, a specific branch of analytic number theory. More precisely, we begin with an overview of the circle method - a fundamental tool introduced by Hardy, Littlewood and Ramanujan; then, we focus on its application to the Goldbach conjecture, and we underline the role of the so-called density in the study of related additive problems - such as Vinogradov's theorem - compared to this one. In the second part of the seminar, we explore our recent generalizations of two previous results: we first extend to polynomials computed at prime variables, an estimate of M. Cantarini, A. Gambini and A. Zaccagnini (2020) for the average number of representations of an integer as a sum of prime powers. Eventually, starting from the paper of K. Ikeda and A. I. Suriajaya (2025), we move to the arithmetic progressions, and we find the asymptotic behavior for the average number of representations of an integer as a sum of two prime powers and of at least three primes, over multiples of a fixed integer. All of them are joint works with A. Zaccagnini.
2026.11.13. Chiara Bellotti (Max Planck Institute for Mathematics)
2026.11.27. Christos Katsivelos (University of Patras)
Past Events