# Explicit Number Theory January 7—11, 2019, Valparaíso

Home · Schedule · Abstracts · Participants
Poster · Practical information

### Schedule

All talks will take place at CIAE, Universidad de Valparaíso, Blanco 1931, Valparaíso. room 404-405.

Registration, coffee breaks, and the Monday wine and chees party will be held on terrace (3rd floor) of the same building.

All plenary talks are 45 minutes long, with extra 5 minutes for questions. All short talks are 20 minutes long, with extra 5 minutes for questions.

The talk abstracts can be viewed here.

#### Monday, January 7, 2019

 9:30 - 10:20 Registration, coffee 10:20 - 10:30 Opening address 10:30 - 11:20 Guy HENNIART Explicit local Langlands correspondence 11:20 - 11:40 Coffee break 11:40 - 12:30 Natalia GARCIA-FRITZ Ranks of elliptic curves and arithmetic progressions of rational points 12:30 - 14:30 Lunch 14:30 - 15:20 Jennifer PARK The density of genus 1 curves in $$\mathbb{P}^1\times\mathbb{P}^1$$ over $$\mathbb{Q}$$ that have points everywhere locally 15:20 - 15:40 Coffee break 15:40 - 16:30 Henri COHEN Computing L-functions of Dirichlet characters at negative integers 16:30 - 18:00 Wine and cheese reception

#### Tuesday, January 8, 2019

 9:30 - 10:20 Milton ESPINOZA On particular values of certain special functions 10:20 - 10:40 Coffee break 10:40 - 11:30 Guillermo MANTILLA-SOLER Casimir bilinear pairings and some arithmetic applications 11:40 - 12:30 Benjamin MATSCHKE Proofs by example 12:30 - 14:30 Lunch 14:30 - 15:20 Nils SKORUPPA The Macdonald identities and Jacobi forms of lattice index 15:20 - 15:40 Coffee break 15:40 - 16:30 Héctor PASTÉN Bivariate polynomial injections of rational points

#### Wednesday, January 9, 2019

 9:30 - 10:20 Nicolás SIROLLI Congruences satisfied by eta quotients 10:20 - 10:40 Coffee break 10:40 - 11:30 Elisa LORENZO Reduction type of plane quartic curves 11:40 - 12:30 Eduardo FRIEDMAN A case of the Rodriguez-Villegas conjecture

#### Thursday, January 10, 2019

 9:30 - 10:20 Éric GAUDRON Torsion bounds for abelian varieties 10:20 - 10:40 Coffee break 10:40 - 11:30 Sebastián HERRERO Mock modular forms whose shadows are Eisenstein series 11:35 - 12:00 Stefan SCHMID Integrality Properties in the Moduli Space of Elliptic Curves 12:05 - 12:30 Kevin O'BRYANT Explicit Bounds for Primes in Arithmetic Progression 12:30 - 14:30 Lunch 14:30 - 15:20 Shabnam AKHTARI The difficulty of proving effective results for norm form equations 15:20 - 15:40 Coffee break 15:40 - 16:30 Samuel LE FOURN A tubular approach to Baker's method 20:00 Conference dinner at La caperucita y el lobo

#### Friday, January 11, 2019

 9:30 - 10:20 Nicolas BILLEREY Sum of two $$S$$-units via Frey-Hellegouarch curves 10:20 - 10:40 Coffee break 10:40 - 11:30 Sara CHECCOLI Fields of algebraic numbers with non-uniformly bounded local degrees and their Galois groups 11:40 - 12:30 Florian LUCA $$X$$-coordinates of Pell equations in various sequences