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SUMMARY:Sameera Vemulapalli (Harvard University)
DTSTART:20240930T200000Z
DTEND:20240930T210000Z
DTSTAMP:20260423T040005Z
UID:NTBU/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/4/">Ste
 initz classes of number fields and Tschirnhausen bundles of covers of the 
 projective line</a>\nby Sameera Vemulapalli (Harvard University) as part o
 f Boston University Number Theory Seminar\n\nLecture held in CDS Room 365 
 in Boston University.\n\nAbstract\nGiven a number field extension $L/K$ of
  fixed degree\, one may consider $\\mathcal{O}_L$ as an $\\mathcal{O}_K$-m
 odule. Which modules arise this way? Analogously\, in the geometric settin
 g\, a cover of the complex projective line by a smooth curve yields a vect
 or bundle on the projective line by pushforward of the structure sheaf\; w
 hich bundles arise this way? In this talk\, I'll describe recent work with
  Vakil in which we use tools in arithmetic statistics (in particular\, bin
 ary forms) to completely answer the first question and make progress towar
 ds the second.\n
LOCATION:https://researchseminars.org/talk/NTBU/4/
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