Arithmetic Days 2023 - Institut Élie Cartan de Lorraine

Journées Arithmétiques 2023

from July 3 to 7, 2023

Welcome to the website of the JA 2023

We are happy to welcome you to the 32nd Journées Arithmétiques taking place from July 3rd to July 7th, 2023 in Nancy, France. Journées Arithmétiques 2023 is planned as an in-person event.

The conference site is located at the Campus des Aiguillettes in the south of Nancy.

On this page you will find all the information for registration, housing, schedule of the conference etc.

Please direct further questions to ja2023-contact@univ-lorraine.fr.

History of the Journées Arithmétiques (Jacques Martinet) : http://jamartin.perso.math.cnrs.fr/Publications/histoireJA.pdf

Deadlines

Registration is now open to May 10th, 2023. Exceptionnally, there are no registration fees for participants for this first post-covid edition. Please note that participation in the banquet and/or in some of the touristic tours (both are optional) is not covered.

Abstract submission for contributed talk

Deadline : May 10th, 2023

Request for financial support

Deadline : March 31st, 2023

Registration

Deadline : May 10th, 2023

Submission decisions

Deadline : May 12th, 2023

Invited speakers

Gal Binyamini
Weizmann Institute of Science, Israël

Adam Harper
University of Warwick, Royaume Uni

Dimitris Koukoulopoulos
Université de Montréal, Canada

Daniel Litt
University of Toronto, Canada

Simon L. Rydin Myerson
University of Warwick, Royaume Uni

Hector Pasten
Pontificia Universidad Católica de Chile, Chilli

Vincent Pilloni
Université Paris-Saclay, France

Yunqing Tang
University of California Berkeley, États-Unis

Sarah Zerbes
ETH Zürich, Suisse

Xinwen Zhu
Stanford University, États-Unis

Organising Committee

Cécile Dartyge
Nancy

Damien Jamet
Nancy

Youness Lamzouri
Nancy

Manfred Madritsch
Nancy

Anne de Roton
Nancy

Jean-Sébastien Sereni
Strasbourg

André Stef
Nancy

Thomas Stoll
Nancy

Paola Schneider
Nancy, assistante administrative

Scientific Committee

Fabrizio Andreatta
Milano

Ana Caraiani
Imperial College

Hélène Esnault (chair)
FU Berlin, IAS Princeton

Philipp Habegger
Basel

Elena Mantovan
Caltech

Jacob Tsimerman
Toronto

Olivier Wittenberg
Orsay

Trevor Wooley
Purdue

Contributed talks

If you would like to give a 20 minutes contributed talk, please submit your request by May 10th, 2023 via https://ja2023.sciencesconf.org/ under “My submissions” (including your name and affiliation, title, abstract, and, if applicable, restrictions concerning the date and time).

Résidences universitaires

We have pre-booked around one hundred rooms in the university student housing (CROUS). Please let us know whether you are interested via your registration form (remarks) on https://ja2023.sciencesconf.org/.

Financial support

Limited funds are available for partial travel / accommodation support for early-career participants and for those most in need. For those seeking support, please send by March 31st, 2023 to ja2023-contact@univ-lorraine.fr:
* a justification for your request including details for what you need financial support for (travel, accommodation) with an approximate budget,
* a letter of your supervisor or mentor (for graduate students) supporting your request.

Program

The whole program as well as additional information on the conference can be found in the booklet.
Program change with respect to the booklet. Now : Binyamini (Wednesday 9:00-10:00), Pasten (Thursday 10:45-11:45).

Monday 3/7	Tuesday 4/7	Wednesday 5/7	Thursday 6/7	Friday 7/7
starting from 8:00 Onsite registration in front of Amphi 8 8:40 Opening of JA23
9:00 – 10:00 Xinwen Zhu	9:00 – 10:00 Daniel Litt	9:00 – 10:00 Gal Binyamini	9:00 – 10:00 Sarah Zerbes	9:00 – 10:00 Vincent Pilloni
10:00 – 10:45 coffee break	10:00 – 10:45 coffee break	10:00 – 10:45 coffee break	10:00 – 10:45 coffee break	10:00 – 10:45 coffee break
10:45 – 11:45 Simon L. Rydin Myerson	10:45 – 11:45 Dimitris Koukoulopoulos (slides)	10:45 – 11:45 Adam Harper	10:45 – 11:45 Hector Pasten	10:45 – 11:45 Yunqing Tang
11:45 – 13:30 lunch break	11:45 Photo 12:00 – 13:45 lunch break	11:45 Presentation JA2025 11:50 – 13:30 lunch break	11:45 – 13:30 lunch break	11:45 – 13:30 lunch break
13:30 – 15:20 contributed talks	13:45 – 15:35 contributed talks	touristic afternoon (registration closed)	13:30 – 15:20 contributed talks	13:30 – 15:20 contributed talks
15:20 – 16:00 coffee break	15:35 – 16:15 coffee break		15:20 – 16:00 coffee break	15:20 – 16:00 coffee break
16:00 – 17:30 contributed talks	16:15 – 18:15 contributed talks		16:00 – 17:30 contributed talks	16:00 – 17:00 open problems session
reception			19:30 conference dinner (registration closed)

The reception (welcome cocktail, free of charge) will take place on Monday, July 3rd at 19:00 at the Hôtel de Ville de Nancy, located at Place Stanislas in Nancy (1 Pl. Stanislas, 54000 Nancy).

The conference dinner (for participants who have registered and confirmed their registration) will take place on Thursday, 6th at 19:30 at the Brasserie Excelsior, 50 rue Henri Poincaré, 54000 Nancy.

Parallel Sessions

Monday, 3 July

	Session 1 (Chair : Douglas Ulmer)	Session 2 (Chair : Cécile Dartyge and Ayreena Bakhtawar)	Session 3 (Chair : Sam Chow)	Session 4 (Chairs : Adrián Zenteno and Robin Bartlett)	Session 5 (Chair : Attila Bérczes)	Session 6 (Chair : Manfred Madritsch)
Room	Amphi 11	Amphi 12	Amphi 13	Amphi 14	Amphi 15	Amphi 16
13:30	Andrzej Dabrowski Genus two curves with everywhere good reduction over quadratic fields	Yuichiro Toma An expression for multiple L-functions in terms of the confluent hypergeometric function (slides)	Antonella Perucca Unified treatment of Artin-type problems (slides)	Robin Bartlett Cycle identities in the affine grassmannian and applications to Breuil-Mézard for crystalline representations	Christoph Aistleitner A quantitative Koukoulopoulos-Maynard theorem in Diophantine approximation	Nuno Arala Santos New bounds for sets with restricted differences
14:00	Aram Tangboonduangjit Investigating divisibility properties of quotient sequences derived from Lucas and elliptic divisibility sequences (slides)	Mithun Das Multiplicative functions in short intervals	Tomasz Jędrzejak Ranks of quadratic twists of Jacobians of generalized Mordell curves (slides)	Chien-Hua Chen On singular moduli for higher rank Drinfeld modules (slides)	Neelam Kandhil The transcendence and distribution of Euler-Kronecker constants	Ram Krishna Pandey A Generalization of $H$-fold sumset of set of integers
14:30	Thomas Agugliaro Examples of abelian varieties satisfying the standard conjecture of Hodge type	Cathy Swaenepoel Primes and squares with preassigned digits (slides)	Su-ion Ih A Diophantine property of postcritically finite unicritical polynomials	Hiromichi Yanai Hodge cycles on a product of CM abelian varieties	Tapas Chatterjee On arithmetic nature of the Euler’s constant	Maciej Zakarczemny Equal-Sum-Product Problem
15:00	Raf Cluckers Bounds for rational points on algebraic curves and dimension growth	Lola Thompson Sums of proper divisors with missing digits	Magdaléna Tinková Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables (slides)	Yasemin Kara Solving Fermat type equations over number fields via modular approach	Takeshi Kurosawa Transcendence of infinite products involving binary linear recurrences	Javier Pliego Garcia On bounds for $B_2[g]$ sequences and the Erdős-Turán Conjecture
15:20	coffee break
16:00	Mar Curco Iranzo Generalised Jacobians of modular curves and their $\mathbb{Q}$-rational torsion.		Diana Savin Division quaternion algebras over some cyclotomic fields	Adrián Zenteno Le programme de Langlands appliqué à la théorie de Galois inverse (slides)	Gessica Alecci On algebraic structures of linear recurrent sequences (slides)	Sándor Kiss Problems and results on additive representation functions associated to linear forms
16:30	Natalia Garcia-Fritz Geometric progressions of rational points on elliptic curves	William Verreault Sums of arithmetic functions running on factorials	David Hokken Counting reciprocal Littlewood polynomials with square discriminant	Andrea Marrama Barsotti-Tate groups with ramified endomorphism structure (slides)	Manuel Hauke The distribution of partial quotients of reduced fractions with fixed denominator (slides)	Haydar Göral Arithmetic progressions in finite fields
17:00	Emine Tugba Yesin Elsheikh Divisibility by 2 on quartic models of elliptic curves and rational Diophantine $D(q)$-quintuples	Raivydas Šimėnas Prime functions (slides)			Tobias Hilgart On a conjecture of Levesque and Waldschmidt (slides)	Bartosz Sobolewski Hankel determinants associated with weighted binary sum of digits (slides)

Tuesday, 4 July

	Session 1 (Chair : Jean Kieffer)	Session 2 (Chair : Lola Thompson)	Session 3 (Chair : Su-ion Ih)	Session 4 (Chairs : Lucile Devin and Cécile Dartyge)	Session 5 (Chair : Lajos Hajdu)	Session 6 (Chairs : Isabelle Dubois and Anne de Roton)
Room	Amphi 11	Amphi 12	Amphi 13	Amphi 14	Amphi 15	Amphi 16
13:45	Sabyasachi Dhar Tate cohomology and base change of cuspidal representations of $GL_n$	Kamel Mazhouda The Li criterion and its variations in the Selberg class	Yann Bugeaud Continued fraction expansions of algebraic power series over a finite field	Bence Borda Extreme values of Birkhoff sums and quantum modular forms	Elif Tan On bi-periodic Horadam numbers	Jyotsna Sharma The existence of primitive pair over finite fields (slides)
14:15	Soumeya Merwa Tebtoub Ellipses and integer sequences	Seon-Hong Kim Translations and extensions of the Nicomachus identity	Aakash Choudhary Existence of primitive pairs with two prescribed traces over finite fields (slides)	Frederik Broucke Zero-density estimates for Beurling generalized numbers (slides)		Sawian Jaidee Realizable sequences
14:45	Christophe Levrat Curves are algebraic $K(\pi,1)$: theory and practice	Takao Komatsu On q-generalized $(r, s)$-Stirling transforms	Prabhakar Ratipal Yadav Irreducibility of Truncated Binomial Polynomials (slides)	Rachid Caich Almost sure upper bound for random multiplicative functions	Ayberk Zeytin Hecke continued fractions and orders in relative quadratic extensions (slides)	Kota Saito Topological properties and algebraic independence of sets of prime-representing constants
15:15	Alexander Molyakov The Hasse principle for intersections of two quadrics	Paul Young Global series for height 1 multiple zeta functions (slides)	Antigona Pajaziti On congruence classes of orders of reductions of elliptic curves	Gregory Debruyne Extreme oscillation for Beurling integers	Michael Weba Series representations and asymptotically finite representations for the numbers $\zeta(2m+1)$	Csaba Sandor Multiplicative complements
15:35	coffee break
16:15	Francesco Maria Saettone Equidistribution of CM points	Eric Saias Étude du graphe divisoriel	Khac Nhuan Le Zagier-Hoffman’s conjectures in positive characteristic	Brundaban Sahu A simple extension of Ramanujan-Serre derivative map and some applications	Philip Holdridge Random Diophantine equations in the primes	Radhakrishnan Nair On Ergodic Theorems and The Riemann Hypothesis (slides)
16:45	Boaz Moerman Generalized campana points and adelic approximation on toric varieties (slides)	Youness Lamzouri A walk on Legendre paths	Sam Chow A Galois counting problem for number fields	Bin Chen The density hypothesis for the $L$-functions associated to holomorphic cusp forms and zero-density estimate for the Riemann zeta functio	Pedro José Cazorla-García On differences of perfect powers and prime powers (slides)	Krystian Gajdzica Log-behaviour of quasi-polynomial-like functions (slides)
17:15	Douglas Ulmer $p$-torsion of Jacobians in unramified Artin-Schreier covers of curves	Mengdi Wang Friable numbers are orthogonal to nilsequences	Luca Demangos Quantum j invariant and real multiplication program	Liangyi Zhao Lower bounds for negative moments of $\zeta'(\rho)$	Volker Ziegler On products of prime powers in linear recurrence sequences	Georges Grekos The exponential density set
17:45	Kiseok Yeon The Hasse principle for homogeneous polynomials with random coefficients over thin sets (slides)	Théo Untrau Equidistribution of exponential sums indexed by roots of polynomials (slides)	Mohamed Wafik Mahmoud Hassan ElSheikh Construction of polynomials with prescribed divisibility conditions on the critical orbit	Julie Wetzer Hooley’s function along friable integers (slides)	Pierre Popoli On the binary digits of $n$ and $n^2$	Razika Niboucha La conjecture de Syracuse et les applications quasi-affines

Thursday, 6 July

	Session 1 (Chair: Harry Schmidt)	Session 2 (Chairs: Youness Lamzouri)	Session 3 (Chair: Magdaléna Tinková)	Session 4 (Chairs: Laszlo Remete and Bidisha Roy)	Session 5 (Chairs: Manfred Madritsch and Ingrid Vukusic)	Session 6 (Chair: Jean-Louis Verger Gaugry)
Room	Amphi 11	Amphi 12	Amphi 13	Amphi 14	Amphi 15	Amphi 16
13:30	Ketevan Shavgulidze On the spaces of spherical polynomials and generalized theta-series for quadratic forms of any number of variables	Jean-Marc Deshouillers Coprimalité d’éléments de suites du type Piatetski-Shapiro	Ricardo Menares On CM values of modular functions that are $S$-unit	Neelam Saikia New results in arithmetic statistics	Attila Bérczes Effective results for Diophantine equations over finitely generated domains (slides)	Rena Chu Exponential sums with applications in PDEs
14:00	Francesco Ballini Avoiding problems	Lajos Hajdu Polynomials with only rational roots (slides)	Clifford Chan Kummer theory for number fields	Himanshu Sharma Stability of certain higher degree polynomials	Ingrid Vukusic On sums of two Fibonacci numbers that are powers of integers with sparse Zeckendorf representation	Kevin Allen Unimodal sequences, Hecke-type double sums and false theta series
14:30	Gabriele Bogo Supersingular abelian surfaces and orthogonal polynomials	Florian Luca On a congruence arising from permutation polynomials	Alberto Corato The m-step solvable Hom-form of birational anabelian geometry for number fields	Marius Leonhardt Affine quadratic Chabauty	Renan Laureti Construction of a normal number in continued fraction and Pisot bases	Gabriel Cardoso An extension of the Euclid-Euler theorem to certain $\alpha$-perfect numbers (slides)
15:00	Nadav Yesha The number of lattice points in thin sectors	Tony Haddad A coupling for prime factors of a random integer	Lukas Maciulevičius Some degree problems in number fields (slides)	Bidisha Roy On ranks of quadratic twists of a Mordell curve (slides)	Prajeet Bajpai Effective norm-form equations and an application to approximation by algebraic numbers	James Dolan Multidimensional Integer Trigonometry
15:20	coffee break
16:00	Jean Kieffer Isogeny classes of typical principally polarized abelian surfaces over $\mathbb{Q}$	Konstantinos Kydoniatis Solutions to polynomial congruences with variables restricted to a box (slides)	Sumandeep Kaur Quintic number fields defined by $x^5+ax+b$	Laszlo Remete Monogenity of parametric families of number fields	Ayreena Bakhtawar Diophantine approximation and the weighted products of partial quotients in continued fractions	Sonam Garg Arithmetic nature of $q$-Euler-Stieltjes constants (slides)
16:30	Chatchawan Panraksa Arithmetic dynamics of unicritical polynomials: a study on rational periodic points (slides)	László Mérai Friable polynomials with several prescribed coefficients over finite fields		Wataru Takeda Existence of the solutions to the Brocard-Ramanujan problem for norm forms (slides)	Dmitry Gayfulin Second best approximations and the Lagrange spectrum	Sinuhe Perea GRACYASK: GRAphs CYcles And SKyrmions: Topological invariants in discrete re-writing fiber bundles
17:00	Jessica Alessandrì Local-global divisibility on algebraic tori (slides)	Riccardo Pengo Mahler measure of successively exact polynomials		Pavlo Yatsyna Quadratic forms and where to find them

Friday, 7 July

	Session 1 (Chair : Christophe Levrat)	Session 2 (Chair : Jean-Marc Deshouillers)	Session 3 (Chair : Alberto Corato)	Session 4 (Chair : Damien Jamet and Julien Bernat)	Session 5 (Chair : Volker Ziegler)	Session 6 (Chair: André Stef)
Room	Amphi 11	Amphi 12	Amphi 13	Amphi 14	Amphi 15	Amphi 16
13:30	Lorenzo Sauras Altuzarra A geometric description of the factors of Fermat numbers		Fabien Pazuki Northcott property for special values of $L$-functions	Jean-Louis Verger-Gaugry A non-trivial minorant of the set of Salem numbers	Emanuele Tron GCD problems in algebraic groups
14:00	Harry Schmidt Isogeny estimates along families of abelian varieties	Paul Péringuey A generalization of Artin’s primitive root conjecture among integers with few prime factors	Robin Visser Curves with few bad primes over cyclotomic $\mathbb{Z}_\ell$-extensions (slides)	Akihiro Goto On the elliptic Gauss sums	Alain Togbe On the solutions of the Diophantine equation $P_n\pm\frac{a(10^m−1)}{9} = k!$	Pierre-Adrien Tahay Characteristic sequences of the sets of sums of squares as columns of cellular automata
14:30	Moctar Traore On almost $\eta$-Ricci-Bourguignon solitons	Sudhir Pujahari Sato-Tate conjecture in arithmetic progressions for certain families of elliptic curves		Paulius Drungilas Multiplicative dependence of two integers shifted by a root of unity		Youssef Sedrati Races of irreducible monic polynomials over function fields

15:00	coffee break
15:20	Open problems session (chair : M. Waldschmidt)

Practical information

How to get to Nancy ?

Getting from Paris to Nancy: take a train at gare de l’Est. This station is reachable by the lines 4, 5 and 7 of the Paris Metro.

Getting here from the airports of Paris:

From Orly airport (sud)
- By train via Gare de l’Est
  - Orly Sud -> Antony by OrlyVal (8 min)
  - Antony -> Châtelet-Les Halles by RER B (21 min)
  - Les Halles -> Gare de l’Est by M4 (6 min)
- By bus via Gare de l’Est
  - Orly Sud -> DENFERT-ROCHEREAU-METRO-RER (39 min)
  - DENFERT-ROCHEREAU-METRO-RER -> DENFERT-ROCHEREAU – FROIDEVAUX by bus line 88 (2 min)
  - DENFERT-ROCHEREAU – ARAGO -> Gare de l’Est by bus line 38 (32 min)
From CDG airport(nord)
- By train via TGV Lorraine
  - CDG 2 -> TGV Lorraine (1h 30 min)
  - TGV Lorraine -> Nancy Ville (35 min)
- By train via Gare de l’Est
  - CDG 2 -> Gare du Nord by RER B (32 min)
  - Gare du Nord -> Gare de l’Est (7 min by foot – 352 mètres)
- By via Gare de l’Est
  - CDG T2 -> Opera by RauzyBus (1h 12 min)
  - Opera -> Gare de l’Est (17 min)

Getting here from Luxembourg airport:

Luxembourg airport -> Gare de Luxembourg by line 29 (19 min)
Gare de Luxembourg -> Gare de Nancy Ville (1h 55 min)

Getting here from Strasbourg airport:

Aéroport de Strasbourg -> Gare de Strasbourg by train (9 min)
Gare de Strasbourg -> Gare de Nancy Ville (1h 30 min)

How to get arround in Nancy ?

Walking: Nancy is a town, which can be discovered by foot. The campus Aiguillettes is in a 45 minutes walking distance from the town centre.
By bike: With a bike network of more than 175 km, greater Nancy is a great place to cycle. VélOstan’lib provides self-service bicycles at 29 stations throughout the city and VélOstan’boutic offers you the possibility to rent bicycles in 8 rental points in the agglomeration. One of these rental points is located at the “Vélodrome” near the Campus des Aiguillettes.
Taxi : 3 Place Thiers, Nancy Railway station, 54000 Nancy, Level -1, Standard : 03 83 37 65 37 – 24h/24h, 7d/7d
Public transport: The public transport network in Nancy is called “Stan“. Tickets can be bought at the train station or several other “partners“. You can buy single tickets “Pass 1” for 1.40, one day tickets “Pass 24h” for 3.90 or ten ticket passes “Pass 10” for 11.00. These tickets exist also in a “MixCités” version, however, these are for suburban lines and are not needed for the conference. Note also that on the weekends (Saturnday and Sunday) the public means of transport in Nancy are free of charge – you do not need a ticket.
You reach Nancy in a time of reconstruction. Since March the monorail has quit its service. It will be replaced by a trolleybus in September 2024. In the meantime the old line “Tempo 1” or “T1” is replaced by two lines A and B, which are not on the campus map. Therefore you have two possibilities to get from the city center to the conference side:
- The first one is by replacement bus A. It runs every 7-10 minutes and reaches the stop “Velodrome”
  which is in the bottom right corner, close to the R.U. (the mensa). However, this bus makes a
  round trip in the city center and it takes quite some time to get to the conference.
- The second one is the Bus “Tempo 3” or “T3”. It runs every 10 minutes and serves the stops
  “Joseph Laurent” and “UFR Staps” in the upper right corner, which are closer to the conference
  site.

Location of the various events of the Journées Arithmétiques

The conference takes place at the Campus Aiguillettes south of Nancy. The plenary lectures take place in the “Amphi 8” (A8) of the “Victor Grignard” building. The parallel sessions take place in the conference rooms “Amphi 11” to “Amphi 16” in the “Henri Poincaré” building.

Sleeping in Nancy ?

Destination Nancy offers a large list of possible hotels to spend the night.

Eating near Campus Aiguillettes ?

Les Fourneaux de Marius
101 Av. Jean Jaurès
54500 Vandoeuvre
Mo – Sa 12:00 – 13:30
Th – Sa 19:00 – 21:30

Le Villeroy
1 rue du Haut de la Taye
54600 Villers
Mo – Fr 12:00 – 14:00
Tu – Sa 18:00 – 22:00

Brasserie Monplaisir
rue de Remich
54500 Vandoeuvre
Mo – Fr 8:00 – 20:00
Sa 9:00 – 15:00

Brasserie de la Fontaine
203 av du Général Leclerc
54500 Vandoeuvre
Mo – Fr 7:00 – 21:00
Sa 9:00 – 19:00

La Pizza de Nico
2 av Jean-Jaurès
54500 Vandoeuvre
Su – Fr 11:00 – 22:00
Sa 12:00 – 14:00 and 18:00 – 22:00

Made in France
159 av du Général Leclerc
54500 Vandoeuvre
Mo – Sa 11:00 – 14:30 and 18:30 – 21:30
Su 18:30 – 21:30

KMP
2 rue Dr Gadol
54500 Vandoeuvre
Mo – Sa 11:00 – 22:00

The Burger Factory
167 av du Général Leclerc
54500 Vandoeuvre
Mo – Su 11:30 – 13:30 and 18:00 – 21:30

Chez Yassin
167 av du Général Leclerc
54500 Vandoeuvre
Mo – Su 11:00 – 23:00

MR. Food
6 av Jean Jaurès
54500 Vandoeuvre
Mo – Fr 11:30 – 14:00 and 18:30 – 2:00
Sa, Su 18:30 – 2:00

Boulangerie La Mi Do Re
17 av Jean Jaurès
54500 Vandoeuvre
Mo, We, Th, Fr 6:30 – 14:00, 16:00 – 19:00
Sa, Su 7:00 – 13:00

Warning

We have been made aware of several convincing phone and mail scams that are focusing on workshops/conferences participants and especially speakers. Participants may be contacted by phone or by mail by a firm called Business Travel Management or Ehotel Services to arrange accommodation for workshops, this includes a request to enter credit card information: do not give any information about your credit card details. Several conferences have been already targeted as you can see at the following links:

http://www.fields.utoronto.ca/generalinfo/WARNING-SCAM-ALERT
http://www.thelancetsummit.com/resources/updateable/pdf/EHS_Warning_AA.pdf
http://phipsi19.inp.nsk.su/scam.php
http://aspire2020.org/scam-alert/