Monday 21 to Friday 25 January, 2019
Room: B3 Math Faculty Universitat de Barcelona Gran Via de les Corts Catalanes, 585, Barcelona (Catalonia). Spain. (${\scriptsize\text{with partial support of IMUB}}$)
Francesc Bars Cortina, Bernat Plans Berenguer and Artur Travesa
Co-ordinators: Daniel Barrera, Xavier Guitart, Marc Masdeu, Santiago Molina Blanco, Victor Rotger Cerda and Carlos de Vera Piquero
Co-ordinators: Marc Masdeu and Xavier Xarles
Co-ordinators: Bernat Plans Berenguer
10.30 - 11.30:
Introduction and overview. (Santiago Molina Blanco)
12.00 - 12.50:
Arrels primitives: fets i qüestions (Artur Travesa)
15.00 - 15.50:
Non-cristalline generalized Kato classes and the values of the triple-product p-adic L-function at classical points (Francesca Gatti)
16.00 - 16.50:
Iwasawa theory and Euler systems: the case of diagonal cycles (Óscar Rivero Salgado)
17.00 - 17.20:
On the level raising of cuspidal eigenforms modulo prime powers. (Emiliano Torti)
10.30 - 11.30:
The derived Hecke algebra and the main conjecture of Venkatesh. (Carlos de Vera Piquero)
12.00 - 13.00:
Punts racionals de corbes I: The Mordell-Weil Sieve (Francesc Bars Cortina)
15.00 - 15.50:
An algorithm for producing differential operators in prime characteristic (Alberto Fernandez Boix)
16.00 - 16.20:
Modular invariants for genus 3 hyperelliptic curves (Elisa Lorenzo)
16.30 - 16.50:
Serre's constant of elliptic curves over the rationals (Enrique González-Jiménez)
17.00 - 17.20:
Invariants of algebraic elements over henselian fields (Nathália Moraes de Oliveira)
10.30 - 11.30:
Derived Hecke operators and weight one modular forms. (Xavier Guitart)
12.00 - 13.00:
Rational points II: Variations on the method of Coleman--Chabauty. (Marc Masdeu)
15.00 - 15.50:
Pullbacks of Siegel forms and algebraicity of L-values (with a view to p-adic L-functions) (Carlos de Vera Piquero)
16.00 - 16.50:
Integral Hopf Galois structures of degree 2p dihedral extensions (Daniel Gil)
17.00 - 17.20:
A comparative study in an elementary proof of the Prime Number Theorem in Arithmetic Progressions (José Granados)
10.30 - 11.30:
A Gross--Zagier trace formula for product of theta series. (Óscar Rivero Salgado)
12.00 - 13.00:
Punts racionals de corbes III: Chabauty Quadràtic (Xavier Xarles)
15.00 - 15.50:
On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve (Adel Betina)
16.00 - 16.50:
On the asymptotic Fermat Last Theorem (Nuno Freitas)
17.00 - 17.20:
Local restrictions to asymptotic Fermat conjecture with coefficients (Eduard Soto)
10.30 - 11.30:
Proof of Venkatesh’s conjecture for dihedral weight one forms. (Óscar Rivero Salgado and Victor Rotger Cerda)
12.00 - 13.00:
The Chabauty-Kim method for some modular curves. (Netan Dogra)