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SUMMARY:The linear relations among radicals [MPIM]
DTSTART:20260812T123000Z
DTEND:20260812T133000Z
DTSTAMP:20260813T172700Z
UID:indico-event-1531@math-events.uni-bonn.de
DESCRIPTION:Speakers: Antonella Perucca (Université du Luxembourg)\n\nNum
 ber theory lunch seminar\nGiven a base field $K$\, we consider its radical
 s\, namely the elements $\\alpha$ (in a given algebraic closure of $K$) su
 ch that $\\alpha^n\\in K$ for some integer $n$ coprime to the characterist
 ic of $K$. The most classical case is covered by Kummer theory\, which add
 itionally requires that the $n$-th roots of unity are contained in $K$. We
  study the entanglement of radicals\, namely their $K$-linear relations th
 at do not stem from multiplicative relations. Building on Kneser's theorem
  on the linear independence of radicals and on work by Ribowicz\, we are a
 ble to completely describe the entanglement of radicals. \n\nhttps://math
 -events.uni-bonn.de/event/1531/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1531/
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