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UID:8934@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251204T110000
DTEND;TZID=Europe/Paris:20251204T120000
DTSTAMP:20251202T143806Z
URL:https://www.i2m.univ-amu.fr/evenements/humbert-singular-relations-and-
 linear-modular-embeddings-of-modular-and-shimura-curves/
SUMMARY:Desirée Gijón Gómez (Inria - Nancy): Humbert singular relations 
 and linear modular embeddings of modular and Shimura curves
DESCRIPTION:Desirée Gijón Gómez: Humbert singular relations are quadrati
 c relations involving the coefficients of the period matrix of a principal
 ly polarized abelian surface (ppas)\, which inform on the existence of bot
 h real multiplications in the ring of symmetric endomorphisms and isogenie
 s to products of elliptic curves. Ppas with quaternionic multiplication ad
 mit infinitely many real multiplications\, which are encoded by a positive
  definite binary quadratic form\, the refined Humbert invariant. We presen
 t the pertinent results (on the complex setting) of Kani\, Lin-Yang\, Guo-
 Yang\, Hashimoto and Rotger\, and apply them to study linear relations bet
 ween the coefficients of the period matrix.
CATEGORIES:Séminaire,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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