STNB2026 (39a edició)

Dates

Del Dilluns 26 al Divendres 30 gener, 2026

Lloc

Facultat de Matemàtiques i Informàtica, Universitat de Barcelona Gran Via de les Corts Catalanes 585 08007 Barcelona

Comitè organitzador

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

Temes

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

Coordinació: Josu Pérez Zarraonandia

Detalls.

  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

Coordinació: Bernat Plans Berenguer

Detalls.

  1. Modular Entanglement
    Samuele Anni
  2. Paraules
    Francesc Bars Cortina
  3. Exploring extensions of Dirichlet and Green-Tao theorems on arithmetic progressions over polynomial and formal power series rings
    Alberto Fernandez Boix
  4. Corbes el·líptiques associades a varietats abelianes 3-dimensionals amb multiplicació imaginària
    Francesc Fité Naya
  5. Recognizing fake elliptic curves
    Enric Florit
  6. Hasse principle and twists of the modular curve X(p)
    Nuno Freitas
  7. Primes ramified in coefficient fields of modular forms
    Filip Gawron
  8. Squares in arithmetic progression over number fields
    Enrique González-Jiménez
  9. Elliptic curves attached to abelian threefolds with imaginary multiplication
    Pip Goodman
  10. Explicit base-change lifts of modular forms
    Antti Haavikko
  11. Fermat curves over number fields and the Hasse principle
    Alain Kraus
  12. Extension of root-based attacks against fully-split PLWE instances via isomorphisms
    Rodrigo Martín Sánchez-Ledesma
  13. Revisiting the Fermat equation of exponents (3,3,p)
    Diana Mocanu
  14. Explicit lower bounds on the conductors of elliptic curves and abelian varieties over number fields
    Pierre Tchamitchian
  15. Additively indecomposable quadratic forms over totally real number fields
    Magdaléna Tinková
  16. Divertiment aritmètic per a relax
    Artur Travesa
  17. Todo entero se puede escribir como suma de un cuadrado y un libre de cuadrados.
    Jorge Urroz
  18. Correspondence theorems for infinite Hopf–Galois extensions
    Gabor Wiese

Calendari

Dimarts 27

10.00 - 11.30:
Overview and Motivation. (Josu Pérez Zarraonandia)

11.45 - 13.15:
Hodge-Tate Representations (Matilde Vieira Lino da Costa)

Divendres 30

Llengües: