The Yang-Baxter Equation, Braces, and Hopf-Galois Theory
The Yang-Baxter equation first arose in the context of theoretical physics and statistical mechanics.
Uniformització p-àdica de corbes modulars per grups p-aritmètics III
Veurem com es relaciona la construcció analítica p-àdica de Darmon (de fa 20 anys) amb els períodes de Tate d’una corba el·líptica, a través d’un resultat de Greenberg-Stevens.
Quantum computing: Year Zero
Quantum computing has been hailed as the ultimate milestone in technology, with promising perspectives and potentially game-changing consequences in many aspects of everyday life.
Anticyclotomic p-adic L-functions
Modular forms invariant under non-split Cartan subgroups
We describe a method for computing a basis for the space of weight 2 cusp forms invariant under a non-split Cartan subgroup of prime level p.
La conjectura del zero excepcional de Teitelbaum sobre cossos de funcions
Barcelona Fall Workshop II
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 Q (A. Gherga (UBC Vancouver)) 12.00 – 12.45: Congruences for sporadic sequences and modular forms for non-congruence subgroups (Matija Kazalicki (Zagreb))
Barcelona Fall Workshop II
14.45 – 15.30: Diophantine applications of Serre’s modularity conjecture (G. Turcas (Bucharest)) 16.15 – 17.00: Formal theorem proving with a view towards Diophantine equations (S. Dahmen (VU Univ. Amsterdam))
Barcelona Fall Workshop II
09.30 – 10.15: A geometric Serre weight conjecture (F. Diamond (King’s College London)) 11.00 – 11.45: Modularity of elliptic curves over totally real cubic fields (F. Najman (Zagreb)) 12.00 – 12.45: Integral presentations of GL(n)∗GL(2) Rankin-Selberg L-functions and applications (J. van Order (Bielefeld))
Barcelona Fall Workshop II
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 ( D. Lombardo (Pisa))