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SUMMARY:John Voight (Dartmouth College)
DTSTART:20230306T190000Z
DTEND:20230306T200000Z
DTSTAMP:20260423T021138Z
UID:NTC/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/19/">A n
 orm refinement of Bezout's Lemma\, and quaternion orders</a>\nby John Voig
 ht (Dartmouth College) as part of Lethbridge number theory and combinatori
 cs seminar\n\nLecture held in University of Lethbridge: M1040 (Markin Hall
 ).\n\nAbstract\nGiven coprime integers a\,b\, the classical identity of Be
 zout provides\nintegers u\,v such that au-bv = 1.  We consider refinements
  to this\nidentity\, where we ask that u\,v are norms from a quadratic ext
 ension.\nWe then find ourselves counting optimal embeddings of a quadratic
 \norder in a quaternion order\, for which we give explicit formulas in\nma
 ny cases.  This is joint work with Donald Cartwright and Xavier\nRoulleau.
 \n
LOCATION:https://researchseminars.org/talk/NTC/19/
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