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SUMMARY:Emre Can Sertöz (Hannover)
DTSTART:20220325T124000Z
DTEND:20220325T134000Z
DTSTAMP:20260423T035741Z
UID:OBAGS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/4/">He
 ights\, periods\, and arithmetic on curves</a>\nby Emre Can Sertöz (Hanno
 ver) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract\nTh
 e size of an explicit representation of a given rational point on an algeb
 raic curve is captured by its canonical height. However\, the canonical he
 ight is defined through the dynamics on the Jacobian and is not particular
 ly accessible to computation. In 1984\, Faltings related the canonical hei
 ght to the transcendental "self-intersection" number of the point\, which 
 was recently used by van Bommel-- Holmes--Müller (2020) to give a general
  algorithm to compute heights. The corresponding notion for heights in hig
 her dimensions is inaccessible to computation. We present a new method for
  computing heights that promises to generalize well to higher dimensions. 
 This is joint work with Spencer Bloch and Robin de Jong.\n
LOCATION:https://researchseminars.org/talk/OBAGS/4/
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