Explicit Number Theory

January 7—11, 2019, Valparaíso

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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

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