STNB2026 (39th edition)

Dates

Monday 26 to Friday 30 January, 2026

Location

Mathematics Faculty, University of Barcelona, 585 Gran Via de les Corts Catalanes 08007 Barcelona, Catalonia ******************************************************************************* Attention: If you want to present a communication, please register and contact with the organizing committee, before January 12, 2026, at stnbarcelona@gmail.com Paritially supported by IMUB (Institut de Matemàtica UB)

Organising committee

Francesc Bars Cortina, Luis Dieulefait, Bernat Plans Berenguer and Artur Travesa

Themes

Hopf-Galois theory and applications to number theory

Co-ordinators: Daniel Gil Muñoz and Cornelius Greither

Details.

Four lectures on $p$-adic Hodge-Tate theory and applications.

Co-ordinators: TBA

Details.

  1. Overview and Motivation.
    Josu Pérez Zarraonandia
  2. Hodge-Tate Representations
    Matilde Vieira Lino da Costa
  3. Three Period Rings for the Elven-kings
    Filip Gawron
  4. Classification of $p$-adic Representations of Elliptic Curves
    Jose Castro-Moreno

Invited talks and communications

Co-ordinators: Bernat Plans Berenguer

Details.

  1. Recognizing fake elliptic curves
    Enric Florit
  2. Hasse principle and twists of the modular curve X(p)
    Nuno Freitas
  3. Fermat curves over number fields and the Hasse principle
    Alain Kraus
  4. Revisiting the Fermat equation of exponents (3,3,p)
    Diana Mocanu
  5. Todo entero se puede escribir como suma de un cuadrado y un libre de cuadrados.
    Jorge Urroz
  6. Correspondence theorems for infinite Hopf–Galois extensions
    Gabor Wiese

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