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SUMMARY:Sameera Vemulapalli (Princeton University)
DTSTART:20230321T203000Z
DTEND:20230321T213000Z
DTSTAMP:20260423T130130Z
UID:MITNT/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/70/">C
 ounting low degree number fields with almost prescribed successive minima<
 /a>\nby Sameera Vemulapalli (Princeton University) as part of MIT number t
 heory seminar\n\nLecture held in Room 2-449 in the Simons Building (buildi
 ng 2).\n\nAbstract\nThe successive minima of an order in a degree $n$ numb
 er field are $n$ real numbers encoding information about the Euclidean str
 ucture of the order. How many orders in degree n number fields are there w
 ith almost prescribed successive minima\, fixed Galois group\, and bounded
  discriminant? In this talk\, I will address this question for $n = 3\,4\,
 5$. The answers\, appropriately interpreted\, turn out to be piecewise lin
 ear functions on certain convex bodies. If time permits\, I will also disc
 uss a geometric analogue of this problem: scrollar invariants of covers of
  $\\mathbb{P}^1$.\n
LOCATION:https://researchseminars.org/talk/MITNT/70/
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