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X-WR-CALDESC:Évènements pour LMNO · Laboratoire de mathématiques Nicolas Oresme
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DTSTART;TZID=Europe/Paris:20251104T140000
DTEND;TZID=Europe/Paris:20251104T150000
DTSTAMP:20260427T012256
CREATED:20250930T081946Z
LAST-MODIFIED:20250930T081948Z
UID:89030-1762264800-1762268400@lmno.unicaen.fr
SUMMARY:Séminaire GRAAL AG : Igor Haladjian
DESCRIPTION:
URL:https://lmno.unicaen.fr/evenement/seminaire-graal-ag-igor-haladjian/
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20251107T140000
DTEND;TZID=Europe/Paris:20251107T150000
DTSTAMP:20260427T012256
CREATED:20251105T111423Z
LAST-MODIFIED:20251105T111424Z
UID:89092-1762524000-1762527600@lmno.unicaen.fr
SUMMARY:Mini-groupe de travail : les dessins d'enfants
DESCRIPTION:Introduction aux dessins d’enfants (Jean-Stefan Koskivirta)\n\n\n\nNous vous proposons un mini-groupe de travail sur deux séances (les vendredis 07/11 et 14/11\, sur le créneau du séminaire TNGA)\, consacré aux dessins d’enfants de Grothendieck. C’est un thème connexe à plusieurs domaines des mathématiques\, avec bon nombre d’applications (par exemple à la résolution d’équations diophantiennes). Nous commencerons par définir les concepts de base\, pour formuler (et démontrer si le temps le permet) le surprenant théorème de Belyi.
URL:https://lmno.unicaen.fr/evenement/mini-groupe-de-travail-les-dessins-denfants/
CATEGORIES:Séminaire,Théorie des nombres
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20251118T140000
DTEND;TZID=Europe/Paris:20251118T150000
DTSTAMP:20260427T012256
CREATED:20250930T082050Z
LAST-MODIFIED:20250930T082052Z
UID:89036-1763474400-1763478000@lmno.unicaen.fr
SUMMARY:Séminaire GRAAL AG : Sam Hughes
DESCRIPTION:
URL:https://lmno.unicaen.fr/evenement/seminaire-graal-ag-sam-hughes/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20251121T140000
DTEND;TZID=Europe/Paris:20251121T153000
DTSTAMP:20260427T012256
CREATED:20251021T112141Z
LAST-MODIFIED:20251023T132649Z
UID:89069-1763733600-1763739000@lmno.unicaen.fr
SUMMARY:Séminaire TNGA : trois exposés de Carlo Sanna\, Antonella Perucca et Florian Luca
DESCRIPTION:Exposé de Carlo Sanna (Politecnico di Torino)\n\n\n\nTitre : Fibonacci partitions\, automata\, and generalized spectral radiis \n\n\n\nRésumé : For each positive integer $n$\, let $r_F(n)$ be the number of ways to write $n$ as a sum of distinct Fibonacci numbers\, where the order of the summands does not matter. What is the average of $r_F(n)$ ? More generally\, what is the $k$th moment of $r_F(n)$ ? Chown\, Jones\, and Slattery answered these questions for $k=1\,2$ via counting arguments and inequalities. In turns out that\, thanks to ideas of Berstel and Shallit\, these questions can be answered by employing automata theory and a result on the generalized spectral radius. \n\n\n\nExposé de Antonella Perucca (Université du Luxembourg)\n\n\n\nTitre : Almost 100 years of Artin’s conjecture on primitive roots \n\n\n\nRésumé : If $a$ is an integer and $p$ a prime number\, we say that $a$ is a primitive root modulo $p$ if the powers of $a$ are representants for all the non-zero residue classes modulo $p$. In 1927\, Artin conjectured that\, provided that $a$ is neither a square nor $-1$\, the set of primes $p$ such that $a$ is a primitive root modulo $p$ has a positive natural density. In 1967\, Hooley was able to prove Artin’s conjecture assuming GRH. Assuming GRH\, with Järviniemi and Sgobba we have obtained very general results on Artin-type problems\, and with Shparlinski we have discovered uniform bounds related to the Artin density. \n\n\n\nExposé de Florian Luca (Stellenbosch University et Max Planck Institute for Software Systems\, Saarbrücken)\n\n\n\nTitre : On large zeros of linear recurrence sequences \n\n\n\nRésumé : The Skolem Problem asks to determine whether a given integer linear recurrence sequence (LRS) has a zero term. In my talk\, I introduce a notion of « large » zeros of (non-degenerate) linear recurrence sequences\, i.e.\, zeros occurring at an index larger than a sixth-fold exponential of the size of the data defining the given LRS. We establish two main results. First\, we show that large zeros are very sparse: the set of positive integers that can possibly arise as large zeros of some LRS has null density. Second\, we define an infinite set of prime numbers\, termed « good »\, having density one amongst all prime numbers\, with the following property: for any large zero of a given LRS\, there is an interval around the large zero together with an upper bound on the number of good primes possibly present in that interval. The bound in question is much lower than one would expect if good primes were distributed similarly as ordinary prime numbers\, as per the Cramér model in number theory. We therefore conjecture that large zeros do not exist\, which would entail decidability of the Skolem Problem. This is joint work with J. Ouaknine (MPI-SWS) and J. Worrell (Oxford).
URL:https://lmno.unicaen.fr/evenement/seminaire-tnga-trois-exposes-de-carlo-sanna-antonella-perucca-et-florian-luca/
CATEGORIES:Séminaire,Théorie des nombres
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20251125T140000
DTEND;TZID=Europe/Paris:20251125T150000
DTSTAMP:20260427T012256
CREATED:20250930T082110Z
LAST-MODIFIED:20250930T082112Z
UID:89037-1764079200-1764082800@lmno.unicaen.fr
SUMMARY:Séminaire GRAAL AG : Quentin Faes
DESCRIPTION:
URL:https://lmno.unicaen.fr/evenement/seminaire-graal-ag-quentin-faes/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20251128T140000
DTEND;TZID=Europe/Paris:20251128T150000
DTSTAMP:20260427T012256
CREATED:20251120T125303Z
LAST-MODIFIED:20251120T125304Z
UID:89105-1764338400-1764342000@lmno.unicaen.fr
SUMMARY:Séminaire TNGA : Lucas Kaufmann
DESCRIPTION:Orateur : Lucas Kaufmann (Université d’Orléans) \n\n\n\nTitre : Équidistribution quantitative des points périodiques pour les endomorphismes holomorphes \n\n\n\nRésumé : Les endomorphismes holomorphes de l’espace projectif P^k (k ≥ 1) généralisent les polynômes et fractions rationnelles en dimension k = 1. Un théorème de Lyubich pour k = 1\, et de Briend-Duval en dimension supérieure\, affirme que les points périodiques d’un tel endomorphisme sont équidistribués par rapport à une mesure d’équilibre canonique. Dans cet exposé\, je présenterai une version quantitative de ces résultats. Travail en commun avec H. de Thélin et T.-C. Dinh.
URL:https://lmno.unicaen.fr/evenement/seminaire-tnga-lucas-kaufmann/
CATEGORIES:Séminaire,Théorie des nombres
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