Conference on Arithmetic Geometry and Applications

Administration

Description

An ICTP Meeting

Arithmetic geometry is a very active and important research area in modern mathematics. It includes topics of number theory, algebraic geometry, mathematical physics and algebra among others. The purpose of this conference is to gather experts on topics related to arithmetic geometry, in a broad sense, with specific emphasis on problems related to properties of algebraic varieties.

The expositions will cover topics including:

central values of L-series (and their connection to Mahler measure of polynomials)
new instances of mirror symmetry
computations and properties of motives (as introduced by Grothendieck to describe the cohomology essence of a variety)

Speakers:
Philip CANDELAS, University of Oxford, UK

Xenia DE LA OSSA, University of Oxford, UK

Alicia DICKENSTEIN, University of Buenos Aires, Argentina

Ahmad EL-GUINDY, Cairo University, Egypt

Tony EZOME, École Normale Supérieure, Libreville, Gabon

Paul GUNNELS, University of Massachusetts, USA

Farshid HAJIR, University of Massachusetts Amherst, USA

Tamás HAUSEL, ISTA, Austria

María Inés ICAZA PÉREZ, University of Talca, Chile

Matilde LALÍN, Université de Montréal, Canada

Emmanuel LETELLIER, Université Denis-Diderot, France

Anton MELLIT, University of Vienna, Austria

Martín MEREB, University of Buenos Aires, Argentina

Ariel PACETTI, University of Aveiro, Portugal

Amalia PIZARRO MADARIAGA, University of Valparaíso, Chile

Danylo RADCHENKO, University of Lille, France

David ROBERTS, University of Minnesota, Morris, USA

Adriana SALERNO, NSF and Bates College, USA
Cecília SALGADO GUIMARÃES DA SILVA, University of Groningen, Netherlands

Gonzalo TORNARÍA, Universidad de la República, Uruguay

Don ZAGIER, ICTP, Italy

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Material

Contributed Talks Booklet Final list of Participants Group photo How to choose your Time Zone Poster

Conference on Arithmetic Geometry and Applications | (smr 3950)

Go to day

Monday, 1 July 2024

08:30 - 09:00 Registration

09:00 - 16:55

09:00 Opening remarks 15'

Speaker: Tarig ABDELGADIR (Loughborough University, UK)

09:15 A highly idiosyncratic and vastly incomplete tour of the mathematical work of Fernando Rodriguez Villegas 45'

Speaker:	Farshid HAJIR (University of Massachusetts Amherst, USA)
Material:	Abstract

10:00 Coffee break 30'

10:30 Perfect powers in elliptic divisibility sequences 30'

Contributed talk

Speaker:	Maryam NOWROOZI (University of Warwick, UK)
Material:	Booklet contributed talks

11:00 Break 5'
11:05 Wild Ramification in Hypergeometric Motives 45'

Speaker: David P. ROBERTS (University of Minnesota Morris, USA)
11:50 Lunch 1h40'

13:30 Function field sieve revisited 45'

Speaker:	Tony Mack Robert EZOME MINTSA (Laboratoire de Recherche en Mathématiques et Applications (LAREMA), Ecole Normale Supérieure (ENS), Gabon)
Material:	Abstract

14:15 Break 5'

14:20 Bad L-Factors of Hypergeometric Motives 30'

Contributed talk

Speaker:	Asem Ismail ABDELRAOUF (SISSA, Italy)
Material:	Booklet contributed talks

14:50 Coffee break 30'

15:20 Evaluations of areal Mahler measure of multivariable polynomials 45'

Speaker:	Matilde Noemi LALIN (University of Montreal, Canada)
Material:	Abstract

16:05 Break 5'
16:10 Remarkable new features in Pari/GP: a virtual Atelier 45'

Speaker: Henri COHEN (Université Bordeaux, France)

Tuesday, 2 July 2024

09:15 - 17:30

09:15 Hypergeometric motives and Diophantine equations 45'

Speaker:	Ariel Martin PACETTI (University of Aveiro, Portugal)
Material:	Abstract

10:00 Coffee break 30'

10:30 Mahler measures of exact polynomials and Cohomology 30'

Contributed talk

Speaker:	Thu Ha TRIEU (École normale supérieure de Lyon, Unité de Mathématiques Pures et Appliquées (UMPA), France)
Material:	Booklet contributed talks

11:00 Break 5'

11:05 Explicit description of hypergeometric motives for Delsarte K3 surface pencils 55'

Speaker:	Adriana SALERNO (Bates College, USA)
Material:	Abstract

12:00 Break 5'

12:05 Ehrhart Theory and Gale Transforms 30'

Contributed talk

Speaker:	Vadym KURYLENKO (SISSA, Italy)
Material:	Booklet contributed talks

12:35 Lunch 1h55'

14:30 Cohomology rings of character varieties 50'

Speaker:	Anton MELLIT (University of Vienna, Austria)
Material:	Abstract

15:20 Break 5'

15:25 Multiple polylogarithms and the Steinberg module 50'

Speaker:	Danylo RADCHENKO (University of Lille, France)
Material:	Abstract

16:15 Coffee break 30'

16:45 Ennola duality for decomposition of tensor products 45'

Speaker:	Emmanuel Etienne Pierre LETELLIER (Université Denis-Diderot, France)
Material:	Abstract

Wednesday, 3 July 2024

09:15 - 13:30

09:15 Some $\ell$-adic properties of modular forms with quadratic nebentypus and $\ell$-regular partition congruences 45'

Speaker:	Ahmed Mostafa Ismail ELGUINDY (Cairo University, Egypt)
Material:	Abstract

10:00 Coffee break 30'

10:30 Locally recoverable codes with availability from fiber products of curves 30'

Contributed talk

Speaker:	Maria De Los Angeles CHARA (Universidad Nacional del Litoral, Argentina)
Material:	Booklet contributed talks

11:00 Break 5'

11:05 Geometric realisation of hypergeometric motives 45'

Speaker:	Giulia GUGIATTI (Univeristy of Padua, Italy)
Material:	Abstract

11:50 Lunch 1h40'

Thursday, 4 July 2024

09:15 - 16:55

09:15 Higgs bundle tournaments 45'

Speaker:	Tamas HAUSEL (Institute of Science and Technology Austria (ISTA), Austria)
Material:	Abstract

10:00 Coffee break 30'

10:30 A Hyperelliptic Statistics on Moduli Spaces 30'

Contributed talk

Speaker:	Sampa DEY (Indian Statistical Institute, KOLKATA, India)
Material:	Booklet contributed talks

11:00 Break 5'

11:05 The behaviour of the Artin conductor 45'

Speaker:	Amalia PIZARRO (Instituto de Matematicas, Facultad de Ciencias, Universidad de Valparaiso, Chile)
Material:	Abstract

11:50 Lunch 1h40'
13:30 Arithmetic methods in the study of some character varieties 45'

Speaker: Martin MEREB (Universidad de Buenos Aires, Argentina)
14:15 Break 5'

14:20 The modular method for Diophantine equations 30'

Contributed talk

Speaker:	Lucas VILLAGRA TORCOMIAN (Universidad Nacional de Córdoba, Argentina)
Material:	Booklet contributed talks

14:50 Group photo & Coffee break 30'
15:20 Paramodularity of Calabi-Yau threefolds 45'

Speaker: Gonzalo TORNARÍA LÓPEZ (Universidad de la República, Uruguay)
16:05 Break 5'

16:10 Fermat-type equations of signature $(p,p,q)$ via Hypergeometric Motives 30'

Contributed talk

Speaker:	Franco Anibal GOLFIERI MADRIAGA (Universidade de Aveiro, Portugal)
Material:	Booklet contributed talks

Friday, 5 July 2024

09:15 - 12:00

09:15 Algebraic A-hypergeometric Laurent series and residues 45'

Speaker: Alicia DICKENSTEIN (Universidad de Buenos Aires, Argentina)
10:00 Coffee break 30'

10:30 Mahler measure of Laurent polynomials over arbitrary tori 30'

Contributed talk

Speaker:	Subham ROY (Université de Montréal, Canada)
Material:	Booklet contributed talks

11:00 Break 5'
11:05 q-hypergeometric series and modularity 45'

Speaker: Don B. ZAGIER (ICTP, Italy)
11:50 Closing remarks 10'

Speaker: Lothar GOETTSCHE (ICTP, Italy), Tarig ABDELGADIR (Loughborough University, UK)