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SUMMARY:Sameera Vemulapalli (Princeton)
DTSTART:20230223T220000Z
DTEND:20230223T230000Z
DTSTAMP:20260423T024658Z
UID:UCSD_NTS/84
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/84/
 ">Counting low degree number fields with almost prescribed successive mini
 ma</a>\nby Sameera Vemulapalli (Princeton) as part of UCSD number theory s
 eminar\n\nLecture held in APM 6402 and online.\n\nAbstract\nThe successive
  minima of an order in a degree n number field are n real numbers encoding
  information about the Euclidean structure of the order. How many orders i
 n degree n number fields are there with almost prescribed successive minim
 a\, fixed Galois group\, and bounded discriminant? In this talk\, I will a
 ddress this question for n = 3\, 4\, 5. The answers\, appropriately interp
 reted\, turn out to be piecewise linear functions on certain convex bodies
 . If time permits\, I will also discuss function field analogues of this p
 roblem.\n\npre-talk at 1:20pm\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/84/
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