Barcelona Fall Workshop on Number Theory II
Dates
Del Dijous 5 al Dissabte 7 desembre, 2019
Lloc
Math Faculty, University of Barcelona, Gran Via de les Corts Catalanes 585 Barcelona. 5th December: Edifici Josep Carner, Faculty of Philosophy, c.Aribau 2, room: Professors room. 5th flour!!! \newline 6th December: Math.Faculty, room B5, Gran Via Corts Catalanes 585. \newline 7th December: Math.Faculty, room B5.
Comitè organitzador
Luis Dieulefait i Nuno Freitas
Temes
Main Talks
Coordinació: Luis Dieulefait i Nuno Freitas
- Isomorphisms of modular Galois representations and graphs
Samuele Anni (Univ. Aix-Marseille) - Dihedral Galois representations and CM forms
Nicolas Billerey (Univ. Clermond-Ferrand) - Formal theorem proving with a view towards Diophantine equations
Sander R. Dahmen (VU Univ. Amsterdam) - A geometric Serre weight conjecture
Fred Diamond (King's College London) - Implementing Algorithms to Compute Elliptic Curves Over $\mathbb{Q}$
Adela Gherga (UBC Vancouver) - Congruences for sporadic sequences and modular forms for non-congruence subgroups
Matija Kazalicki (Zagreb) - Quadratic Chabauty for nonsplit Cartan modular curves
Samuel Le Fourn (Grenoble) - Uniform Kummer theory for elliptic curves over Q
Davide Lombardo (Pisa) - Modularity of elliptic curves over totally real cubic fields
Filip Najman (Zagreb) - Fermat equation with coefficients
Eduardo Soto (Barcelona) - Diophantine applications of Serre's modularity conjecture
George Turcas (Bucharest) - Integral presentations of $GL(n)\ast GL(2)$ Rankin-Selberg L-functions and applications
Jeanine van Order (Bielefeld)
Posters.
Coordinació: Luis Dieulefait i Nuno Freitas
- Quadratic points on modular curves
Josha Box - Torsion groups of elliptic curves defined over number fields with rational j-invariant
Tomislav Gužvić (Zagreb) - Effective irreducibility of residual Galois representations of abelian surfaces with RM over $\mathbb{Q}$ computationally.
Timo Keller (Bayreuth) - Torsion groups of elliptic curves over infinite Abelian extensions of $\mathbb{Q}$
Ivan Krijan (Zagreb) - Local obstructions to S-unit equations
Eduardo Soto (Barcelona) - Torsion subgroups of elliptic curves over cubic number fields
Antonela Trbović (Zagreb) - Torsion groups of rational elliptic curves over some cyclotomic fields.
Borna Vukorepa (Zagreb)
Calendari
Dijous 5
09.30 - 10.15:
Dihedral Galois representations and CM forms (Nicolas Billerey (Univ. Clermond-Ferrand))
11.00 - 11.45:
Implementing Algorithms to Compute Elliptic Curves Over $\mathbb{Q}$ (Adela Gherga (UBC Vancouver))
12.00 - 12.45:
Congruences for sporadic sequences and modular forms for non-congruence subgroups (Matija Kazalicki (Zagreb))
14.45 - 15.30:
Diophantine applications of Serre's modularity conjecture (George Turcas (Bucharest))
16.15 - 17.00:
Formal theorem proving with a view towards Diophantine equations (Sander R. Dahmen (VU Univ. Amsterdam))
Divendres 6
09.30 - 10.15:
A geometric Serre weight conjecture (Fred Diamond (King's College London))
11.00 - 11.45:
Modularity of elliptic curves over totally real cubic fields (Filip Najman (Zagreb))
12.00 - 12.45:
Integral presentations of $GL(n)\ast GL(2)$ Rankin-Selberg L-functions and applications (Jeanine van Order (Bielefeld))
14.45 - 15.30:
Isomorphisms of modular Galois representations and graphs (Samuele Anni (Univ. Aix-Marseille))
16.15 - 17.00:
Uniform Kummer theory for elliptic curves over Q ( Davide Lombardo (Pisa))
Dissabte 7
09.30 - 10.15:
Quadratic Chabauty for nonsplit Cartan modular curves (Samuel Le Fourn (Grenoble))
10.45 - 11.30:
Fermat equation with coefficients (Eduardo Soto (Barcelona))
