The covering radius of rings of integers

par Frauke Bleher (University of Iowa)

jeudi 28 mai 2026, 16:00 → 17:00 Europe/Paris

Salle Pellos (1R2)

Two important measures of the size of a number field K are its degree and its discriminant. In this talk I will discuss a third measure given by the covering radius of the ring of integers O_K of K. This is the minimal radius of a fundamental domain for O_K as a lattice inside the real vector space arising from the real and complex embeddings of K. A number of famous results have to do with infinite families of number fields whose discriminants grow slowly with their degree. I will discuss analogous results for the covering radius. This work is motivated by cryptography, and is joint with Ted Chinburg, Xuxi Ding, Nadia Heninger and Daniele Micciancio.