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SUMMARY:Brandon Alberts (UC San Diego)
DTSTART:20211129T230000Z
DTEND:20211129T235000Z
DTSTAMP:20260423T024759Z
UID:UCLA_NTS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/37/
 ">Refining Malle's Conjecture for Inductive Counting Methods</a>\nby Brand
 on Alberts (UC San Diego) as part of UCLA Number Theory Seminar\n\nLecture
  held in Math Science Building 5203.\n\nAbstract\nMalle's conjecture predi
 cts the asymptotic growth rate of the number of G-extensions F/K of a numb
 er field K with absolute discriminant bounded above by X\, where X tends t
 owards infinity. I will discuss a joint project with Robert Lemke Oliver\,
  Jiuya Wang\, and Melanie Matchett Wood to approach this conjecture induct
 ively by first restricting to G-extensions F/K containing a fixed intermed
 iate extension L/K\, then taking a sum over choices of intermediate extens
 ions. A fundamental concept in this talk will be the related question of f
 inding the distribution of elements of the first Galois cohomology group\,
  $H^1(K\,T)$. In particular\, I will address a joint paper with Evan O'Dor
 ney using harmonic analysis to study $H^1(K\,T)$.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/37/
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