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SUMMARY:James Rawson (University of Glasgow)
DTSTART:20260311T160000Z
DTEND:20260311T170000Z
DTSTAMP:20260528T081304Z
UID:LNTS/190
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/190/">D
 egrees of Algebraic Points on Products of Curves</a>\nby James Rawson (Uni
 versity of Glasgow) as part of London number theory seminar\n\nLecture hel
 d in University College London\, Room 505.\n\nAbstract\nFor a curve define
 d over a number field\, it is a well-studied question to ask for which int
 egers d is the set of degree d points Zariski dense? The answer to this qu
 estion is controlled by the geometry of the curve\, and the set of all suc
 h d is highly structured. Extending these ideas\, we use products of two c
 urves as a case study in the behaviour of this set for surfaces. We also g
 ive arithmetic applications\, including rank jumps of abelian varieties an
 d density of rational points on certain varieties. This is based on joint 
 work with Jennifer Berg\, Yu Fu\, Evangelia Gazaki\, Morena Porzio and Isa
 bel Vogt.\n
LOCATION:https://researchseminars.org/talk/LNTS/190/
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