Barcelona Fall Workshop on Number Theory II

Dates

Thursday 5 to Saturday 7 December, 2019

Location

MAth Faculty. University of Barcerlona. Gran Via de les Corts Catalanes 585. 5th December: Edifici Josep Carner, Philosophical Faculty, c.Aribau 2, room: Professors room, 5th flour!!! 6th December: Math.Faculty, room B5, Gran Via Corts Catalanes 585. 7th December: Math.Faculty, room B5

Organising committee

Luis Dieulefait and Nuno Freitas

Themes

Main Talks

Co-ordinators: Luis Dieulefait and Nuno Freitas

Details.

  1. Isomorphisms of modular Galois representations and graphs
    Samuele Anni (Univ. Aix-Marseille)
  2. Dihedral Galois representations and CM forms
    Nicolas Billerey (Univ. Clermond-Ferrand)
  3. Formal theorem proving with a view towards Diophantine equations
    Sander R. Dahmen (VU Univ. Amsterdam)
  4. A geometric Serre weight conjecture
    Fred Diamond (King's College London)
  5. Implementing Algorithms to Compute Elliptic Curves Over $\mathbb{Q}$
    Adela Gherga (UBC Vancouver)
  6. Congruences for sporadic sequences and modular forms for non-congruence subgroups
    Matija Kazalicki (Zagreb)
  7. Quadratic Chabauty for nonsplit Cartan modular curves
    Samuel Le Fourn (Grenoble)
  8. Uniform Kummer theory for elliptic curves over Q
    Davide Lombardo (Pisa)
  9. Modularity of elliptic curves over totally real cubic fields
    Filip Najman (Zagreb)
  10. Fermat equation with coefficients
    Eduardo Soto (Barcelona)
  11. Diophantine applications of Serre's modularity conjecture
    George Turcas (Bucharest)
  12. Integral presentations of $GL(n)\ast GL(2)$ Rankin-Selberg L-functions and applications
    Jeanine van Order (Bielefeld)

Posters.

Co-ordinators: Luis Dieulefait and Nuno Freitas

Details.

  1. Quadratic points on modular curves
    Josha Box
  2. Torsion groups of elliptic curves defined over number fields with rational j-invariant
    Tomislav Gužvić (Zagreb)
  3. Effective irreducibility of residual Galois representations of abelian surfaces with RM over $\mathbb{Q}$ computationally.
    Timo Keller (Bayreuth)
  4. Torsion groups of elliptic curves over infinite Abelian extensions of $\mathbb{Q}$
    Ivan Krijan (Zagreb)
  5. Local obstructions to S-unit equations
    Eduardo Soto (Barcelona)
  6. Torsion subgroups of elliptic curves over cubic number fields
    Antonela Trbović (Zagreb)
  7. Torsion groups of rational elliptic curves over some cyclotomic fields.
    Borna Vukorepa (Zagreb)

Calendar

Thursday 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))

Friday 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))

Saturday 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))

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