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UID:8981@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260122T104500
DTEND;TZID=Europe/Paris:20260122T114500
DTSTAMP:20260121T101252Z
URL:https://www.i2m.univ-amu.fr/evenements/explicit-2-descent-on-jacobians
 -of-non-hyperelliptic-curves-using-theta-characteristics/
SUMMARY:Thibaut Misme (School of Mathematics Trinity College): Explicit 2-d
 escent on Jacobians of non-hyperelliptic curves  using Theta Characteristi
 cs
DESCRIPTION:Thibaut Misme: 2-descent is a general method for determining ho
 w big are the rationalpoints of an abelian variety A defined over a number
  field. Moreprecisely\, it aims at computing a Selmer group whose cardinal
 itybounds the Mordell-Weil rank of A. In practice\, 2-descent can beperfor
 med on an elliptic curve over Q quite efficiently. I'll explainhow it can 
 be generalised explicitly to Jacobians of non-hyperellipticcurves using Th
 eta Characteristics and give motivations. I'll alsopresent an ongoing work
  about some progress that can be achieved tothe method.I will present all 
 the concepts mentioned here. I will recall what2-descent is in more detail
 \, assuming as few background as I can.
CATEGORIES:Séminaire,AGLR,Arithmétique et Théorie de l’Information
LOCATION:I2M Luminy - TPR2\, Amphithéâtre Herbrand 130-134 (1er étage)\,
  163 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Amph
 ithéâtre Herbrand 130-134 (1er étage):geo:0,0
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