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SUMMARY:Lazar Radicevic (King's College London)
DTSTART:20240522T150000Z
DTEND:20240522T160000Z
DTSTAMP:20260418T065037Z
UID:LNTS/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/132/">P
 rojective geometry and invariant theory of elliptic curves and rings of fi
 nite rank</a>\nby Lazar Radicevic (King's College London) as part of Londo
 n number theory seminar\n\nLecture held in K0.18\, King's Building\, Stran
 d Campus\, King's College London.\n\nAbstract\nI will explain how free res
 olutions of ideals can be used to systematically formulate invariant theor
 y for several moduli spaces of varieties that are of interest in arithmeti
 c statistics and computational number theory. In particular\, we extend th
 e classical invariant theory formulas for the Jacobian of a genus one curv
 e of degree n=2\,3\,4\,5 to curves of arbitrary degree\, generalizing the 
 work on genus one models of Cremona\, Fisher  and Stoll\, and in a joint w
 ork with Tom Fisher\, we compute structure constants for a rank n ring fro
 m the free resolution of its associated set of n points in projective spac
 e\, generalizing the previously known constructions of Levi-Delone-Faddeev
  and Bhargava. Time permitting I will talk about an ongoing project to ext
 end these results to abelian varieties of higher dimension.\n
LOCATION:https://researchseminars.org/talk/LNTS/132/
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