Monday 5 to Friday 9 February, 2024
Room: T1 Mathematics Faculty, University of Barcelona Gran Via de les Corts Catalanes, 585 08007 Barcelona Catalonia, Spain ************************************************************************************ Attention: If you want to present a communication, please register and contact with the organizing committee, before January 18, 2024, at stnbarcelona@gmail.com Paritially supported by IMUB (Institut de Matemàtica UB)
Francesc Bars Cortina, Luis Dieulefait; Artur Travesa and Bernat Plans Berenguer
Co-ordinators: Iván Blanco Chacón (UAH and Aalto University) and Javier Guillán Rial (CRM)
Co-ordinators: Michele Fornea (CRM)
Co-ordinators: Bernat Plans Berenguer
Co-ordinators: Francesc Bars Cortina, Josep González Rovira, Jordi Guàrdia and Mª Montserrat Vela del Olmo
09.55 - 10.00:
BENVINGUDA / WELCOME
10.00 - 11.20:
Preliminary facts and a (detailed) overview of the proof (Iván Blanco Chacón)
11.30 - 12.30:
Gauss' class number problem and the BSD conjecture (Michele Fornea)
12.40 - 13.30:
Períodes, modularitat de corbes el·líptiques i valors crítics de funcions L (Santiago Molina Blanco)
15.00 - 15.50:
On some algebraic and geometric extensions of Goldbach's conjecture (Alberto Fernandez Boix)
16.00 - 16.20:
On the Galois representation attached to the curve $y^6=x^3(1-x)(1-tx)$ (Ariel Pacetti)
16.30 - 16.50:
Universal deformations of representations (Jose Antonio Castro Moreno)
10.00 - 11.20:
First half of the proof of base change over Q: (micro) good dihedral primes and killing ramification (Javier Guillán Rial)
11.30 - 12.30:
Introduction to the plectic philosophy (Michele Fornea)
12.40 - 13.30:
Totally real points on the curve $x^5+y^5+z^5=0$ (Alain Kraus)
15.00 - 15.30:
Post-quantum cryptography and number theory: a fruitful alliance (Iván Blanco Chacón)
15.40 - 16.30:
On the (Non-)Equivalence of Ring Learning With Errors and Polynomial Learning With Errors (Carlo Sanna)
16.40 - 17.30:
Euler's factorial series, Hardy integral, and continued fractions (Tapani Matala-aho)
10.00 - 11.20:
Second half of the proof of base change over Q: weight modifications and connecting with a CM form (Javier Guillán Rial)
11.30 - 12.30:
Bestiary of plectic points (Michele Fornea)
12.40 - 13.30:
On simple reductions of abelian varieties (Enric Florit)
15.00 - 15.50:
Retrobaments en un 60è aniversari: Quan la intel·ligència era purament natural (Pilar Bayer Isant)
16.00 - 16.20:
Paraules (Jordi Quer)
16.30 - 17.20:
Hasta la teoría Hopf-Galois y más allá (Daniel Gil)
17.40 - 19.10:
La primera irregularitat (Joan-C. Lario and Anna Rio Doval)
10.00 - 11.00:
Iwasawa theory and mock plectic points (Michele Fornea)
11.10 - 12.00:
Algorithms to compute Stark Numbers (Carlos Caralps)
12.10 - 12.30:
Computing Bianchi Modular forms with character (Ignasi Sánchez)
14.00 - 15.00:
Retransmissió en directe de la xerrada de Laurent Lafforgue a $b=M^2L$ colloquium series 2024 ()
15.20 - 16.10:
Potentially diagonalisable modular lifts of large weights and supercuspidal modular lifts of weight 2 (Iván Blanco Chacón)
16.20 - 17.10:
Overview and extension of root-based attacks against PLWE instances (Rodrigo Martín)
17.10 - 17.30:
Coincidence of division fields of an elliptic curve (Zoé Yvon)
10.00 - 11.20:
Automorphy of $Sim^5(GL(2))$ and refinement of the base-change proof for GL(2) (Iván Blanco Chacón)
11.30 - 12.20:
p-adic L-functions and diagonal cycles for GSp(4)xGL(2)xGL(2) (Óscar Rivero Salgado)
12.30 - 13.20:
Càlcul eficient de funcions theta associades a grups de Schottky p-àdics (Marc Masdeu)