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SUMMARY:Florent Jouve (Université de Bordeaux)
DTSTART:20230227T163000Z
DTEND:20230227T173000Z
DTSTAMP:20260423T021134Z
UID:NTC/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/18/">Flu
 ctuations in the distribution of Frobenius automorphisms in number field e
 xtensions</a>\nby Florent Jouve (Université de Bordeaux) as part of Lethb
 ridge number theory and combinatorics seminar\n\n\nAbstract\nGiven a Galoi
 s extension of number fields $L/K$\, the Chebotarev Density Theorem assert
 s that\, away from ramified primes\, Frobenius automorphisms equidistribut
 e in the set of conjugacy classes of ${\\rm Gal}(L/K)$. In this talk we re
 port on joint work with D. Fiorilli in which we study the variations of th
 e error term in Chebotarev’s Theorem as $L/K$ runs over certain families
  of extensions. We shall explain some consequences of this analysis: regar
 ding first "Linnik type problems" on the least prime ideal in a given Frob
 enius set\, and second\, the existence of unconditional "Chebyshev biases"
  in the context of number fields. Time permitting we will mention joint wo
 rk with R. de La Bretèche and D. Fiorilli in which we go one step further
  and study moments of the distribution of Frobenius automorphisms.\n
LOCATION:https://researchseminars.org/talk/NTC/18/
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