STNB2025 (38th edition)
Dates
Monday 3 to Friday 7 February, 2025
Location
Room: T1 (Monday) B5 (Tuesday,Wednesday,Thrusday,Friday). Mathematics Faculty, University of Barcelona, 585 Gran Via de les Corts Catalanes 08007 Barcelona, Catalonia
Organising committee
Francesc Bars Cortina, Luis Dieulefait, Bernat Plans Berenguer and Artur Travesa
Themes
On some recent progress of the Schinzel hypothesis over polynomial rings
Co-ordinators: Alberto Fernandez Boix
Plenary talks and communications STNB2025
Co-ordinators:
- The Hidden Subgroup Problem for Non-abelian Groups
Yaiza Aguilar Carós - The power operation in the Galois cohomology of a reductive group over a number field
Mikhail Borovoi - Heegner points and integration over $\mathcal{H}_p\times\mathcal{H}_q$
Carlos Caralps - Inertia types of elliptic curves defined over quadratic extensions of $\mathbb{Q}_p$
Jose Antonio Castro Moreno - Bogomolov property for Galois representations with big local image
Andrea Conti - A local-global principle for quadratic twists of abelian varieties
Nirvana Coppola - Abelian varieties genuinely of GL(n)-type
Enric Florit - On the Fermat equation $x^{13} + y^{13} = 3 z^7$
Nuno Freitas - Images of certain p-adic polynomials, their ratio sets, and a conjecture in additive combinatorics
Stevan Gajovic - Number fields with Hopf-Galois module structure repeating periodically
Daniel Gil Muñoz - On the classification of finite groups of $PGL_n(K)$.
Gerard Gonzalo Calbetó - Semistable abelian varieties over $\mathbb{Q}$ which have good reduction outside of $29$
Pip Goodman - “Safe chains” and some results on Langlands’ base change
Javier Guillán Rial - Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Cyclotomic Subextensions
Antti Haavikko - Modular Tags in Number Fields
Joan-C. Lario - Overview of the Patching Argument
Josu Pérez Zarraonandia - $3$-descent on genus $2$ Jacobians using visibility
Lazar Radicevic - Comparing Galois Representations : a 3-adic example
Ignasi Sánchez
Calendar
Monday 3
10.30 - 11.50:
Review of Dirichlet's theorem on primes in arithmetic progressions (Alberto Fernandez Boix)
12.10 - 13.00:
Bogomolov property for Galois representations with big local image (Andrea Conti)
15.00 - 15.50:
Overview of the Patching Argument (Josu Pérez Zarraonandia)
16.10 - 16.30:
$3$-descent on genus $2$ Jacobians using visibility (Lazar Radicevic)
16.35 - 17.00:
On the classification of finite groups of $PGL_n(K)$. (Gerard Gonzalo Calbetó)
Tuesday 4
10.30 - 11.50:
Basics on Hilbertian fields (Alberto Fernandez Boix)
12.10 - 13.00:
The power operation in the Galois cohomology of a reductive group over a number field (Mikhail Borovoi)
15.00 - 15.50:
Abelian varieties genuinely of GL(n)-type (Enric Florit)
16.10 - 17.00:
Number fields with Hopf-Galois module structure repeating periodically (Daniel Gil Muñoz)
Wednesday 5
10.30 - 11.50:
Classic Hilbertian fields and Hilbertian rings (Alberto Fernandez Boix)
12.10 - 13.00:
Images of certain p-adic polynomials, their ratio sets, and a conjecture in additive combinatorics (Stevan Gajovic)
15.00 - 15.20:
Comparing Galois Representations : a 3-adic example (Ignasi Sánchez)
15.25 - 15.55:
Inertia types of elliptic curves defined over quadratic extensions of $\mathbb{Q}_p$ (Jose Antonio Castro Moreno)
16.10 - 16.40:
“Safe chains” and some results on Langlands’ base change (Javier Guillán Rial)
16.45 - 17.10:
The Hidden Subgroup Problem for Non-abelian Groups (Yaiza Aguilar Carós)
Thursday 6
10.30 - 11.50:
The Schinzel hypothesis for some polynomial rings (Alberto Fernandez Boix)
12.10 - 13.00:
Semistable abelian varieties over $\mathbb{Q}$ which have good reduction outside of $29$ (Pip Goodman)
15.00 - 15.50:
Heegner points and integration over $\mathcal{H}_p\times\mathcal{H}_q$ (Carlos Caralps)
16.10 - 17.00:
Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Cyclotomic Subextensions (Antti Haavikko)
Friday 7
10.30 - 11.20:
A local-global principle for quadratic twists of abelian varieties (Nirvana Coppola)
11.40 - 12.05:
On the Fermat equation $x^{13} + y^{13} = 3 z^7$ (Nuno Freitas)
12.10 - 13.00:
Modular Tags in Number Fields (Joan-C. Lario)
