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SUMMARY:The covering radius of rings of integers
DTSTART:20260528T140000Z
DTEND:20260528T150000Z
DTSTAMP:20260524T181100Z
UID:indico-event-16536@indico.math.cnrs.fr
DESCRIPTION:Speakers: Frauke Bleher (University of Iowa)\n\nTwo important 
 measures of the size of a number field K are its degree and its discrimina
 nt. In this talk I will discuss a third measure given by the covering radi
 us of the ring of integers O_K of K. This is the minimal radius of a funda
 mental domain for O_K as a lattice inside the real vector space arising fr
 om the real and complex embeddings of K. A number of famous results have t
 o do with infinite families of number fields whose discriminants grow slow
 ly with their degree. I will discuss analogous results for the covering ra
 dius. This work is motivated by cryptography\, and is joint with Ted Chinb
 urg\, Xuxi Ding\, Nadia Heninger and Daniele Micciancio.\n\nhttps://indico
 .math.cnrs.fr/event/16536/
LOCATION:Salle Pellos (1R2)
URL:https://indico.math.cnrs.fr/event/16536/
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