STNB 2015 (29th year)
Dates
Monday 26 to Friday 30 January, 2015
Location
Faculty of Mathematics (UB) Room T1 (2nd floor) Gran Via de les Corts Catalanes, 585 08007 Barcelona
Organising committee
Montse Alsina, Piermarco Milione and Hayden Stainsby
Themes
Higher composition laws
Co-ordinators: Alberto Cámara
Construction of Galois representations associated to Hilbert modular forms
Co-ordinators: Victor Rotger Cerda
- Galois representations associated to classical modular forms of weight at least 2: Deligne's theorem
Laia Amorós Carafí - Artin representations associated to modular forms of weight one: Deligne-Serre's theorem
Sara Arias de Reyna Domínguez - Galois representations associated to Hilbert modular forms arising from Shimura curves via Jacquet-Langlands: Carayol's theorem
Piermarco Milione - Galois representations associated to ordinary Hilbert modular forms: Wiles' theorem
Francesc Fité Naya - Automorphic forms and Galois representations: Langlands conjecture
Luis Garcia
Comunications
Co-ordinators: Montse Alsina, Piermarco Milione and Hayden Stainsby
- Elliptic Curves over Real Quadratic Fields are Modular
Samir Siksek - From the Generalized Fermat Equation to Hilbert modular forms with prescribed inertia types
Nuno Freitas - Contributions to the study of Cartier algebras and differential operators
Alberto Fernandez Boix - New developments on the Birch and Swinneton-Dyer conjecture
Victor Rotger Cerda - A new Heegner point construction
Carlos de Vera Piquero - Goldbach's weak conjecture. Helfgott's theorem and numeric verification
Eduard Roure Perdices - Bad reduction of genus 3 curves with complex multiplication
Elisa Lorenzo - Computing equations of elliptic curves over number fields via $p$-adic methods
Xavier Guitart and Xevi Guitart - Computation of triangular bases of integral closures
Hayden Stainsby - Statistics in function fields: the biquadratic case
Piermarco Milione
60+-epsilon Birthdays session
Co-ordinators: Montse Alsina, Piermarco Milione and Hayden Stainsby
Calendar
Monday 26
10.00 - 10.10:
Welcome session
10.10 - 11.30:
Cubes of integers (Eduard Soto)
12.00 - 13.00:
Galois representations associated to classical modular forms of weight at least 2: Deligne's theorem (Laia Amorós Carafí)
15.15 - 16.00:
Elliptic Curves over Real Quadratic Fields are Modular (Samir Siksek)
16.15 - 16.45:
From the Generalized Fermat Equation to Hilbert modular forms with prescribed inertia types (Nuno Freitas)
17.00 - 17.30:
Contributions to the study of Cartier algebras and differential operators (Alberto Fernandez Boix)
Tuesday 27
10.00 - 11.00:
Quartic rings and pairs of binary cubic forms (Xavier Guitart)
11.40 - 12.40:
Artin representations associated to modular forms of weight one: Deligne-Serre's theorem (Sara Arias de Reyna Domínguez)
15.15 - 16.00:
New developments on the Birch and Swinneton-Dyer conjecture (Victor Rotger Cerda)
16.15 - 16.45:
A new Heegner point construction (Carlos de Vera Piquero)
17.00 - 17.30:
Goldbach's weak conjecture. Helfgott's theorem and numeric verification (Eduard Roure Perdices)
Wednesday 28
10.00 - 11.00:
Parametrisation of quintic rings (Santiago Molina Blanco)
11.30 - 12.30:
Galois representations associated to Hilbert modular forms arising from Shimura curves via Jacquet-Langlands: Carayol's theorem (Piermarco Milione)
12.40 - 13.10:
Bad reduction of genus 3 curves with complex multiplication (Elisa Lorenzo)
13.20 - 13.50:
Computing equations of elliptic curves over number fields via $p$-adic methods (Xavier Guitart and Xevi Guitart)
Thursday 29
10.00 - 11.00:
Origins and applications of higher composition laws (Alberto Cámara)
11.40 - 12.40:
Galois representations associated to ordinary Hilbert modular forms: Wiles' theorem (Francesc Fité Naya)
15.30 - 19.00:
Sessió especial dedicada als (60 $\pm$ $\epsilon$) aniversaris
20.30 - 22.30:
Conference dinner
Friday 30
10.30 - 11.00:
Computation of triangular bases of integral closures (Hayden Stainsby)
11.15 - 11.45:
Statistics in function fields: the biquadratic case (Piermarco Milione)
12.15 - 13.15:
Automorphic forms and Galois representations: Langlands conjecture (Luis Garcia)
13.15 - 14.00:
Proper STNB
