Évènement

Thibaut Misme
School of Mathematics Trinity College
https://www.maths.tcd.ie/people/mismet/

Date(s) : 22/01/2026   iCal
10h45 - 11h45

2-descent is a general method for determining how big are the rational
points of an abelian variety A defined over a number field. More
precisely, it aims at computing a Selmer group whose cardinality
bounds the Mordell-Weil rank of A. In practice, 2-descent can be
performed on an elliptic curve over Q quite efficiently. I’ll explain
how it can be generalised explicitly to Jacobians of non-hyperelliptic
curves using Theta Characteristics and give motivations. I’ll also
present an ongoing work about some progress that can be achieved to
the method.
I will present all the concepts mentioned here. I will recall what
2-descent is in more detail, assuming as few background as I can.

Emplacement
I2M Luminy - TPR2, Amphithéâtre Herbrand 130-134 (1er étage)

Catégories

• Séminaire