GENERAL DESCRIPTION
This thematic session offers a broad perspective on number-theoretical topics in geometry, spanning from algebraic to analytic methods, and including excursions into Computational Number Theory. The proposed topics ensure numerous and engaging interactions with other areas. For instance, algebraic geometers may be interested in talks given by experts working on the arithmetic of abelian varieties, while the use of potential theory in Arakelov geometry could appeal to the more analytically minded participants attending the event.
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SCHEDULE
Dimecres 7 d’octubre
16:00h Arithmetic of singular CM points on the eigencurve, by Victor Rotger (Universitat Politècnica de Catalunya)
16:40h On Artin formalism for triple product p-adic L-functions, by Carlos De Vera Piquero (Universidad de Zaragoza)
17:20h Evaluation of Bianchi rigid meromorphic cocycles at big ATR points, by Xevi Guitart (Universitat de Barcelona)
Divendres 9 d’octubre
11:00h The integral Chebtshev problem and a conjecture of Montgomery, by Binggang Qu (ICMAT Madrid)
11:40h Linear programming and the essential minimum of height functions, by Martín Sombra (Universitat de Barcelona)
12:20h On the Markov Uniqueness Conjecture, by Paloma Bengoechea (Universitat de Barcelona)