BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:4817@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20230608T170000 DTEND;TZID=Europe/Paris:20230608T180000 DTSTAMP:20241124T135316Z URL:https://www.i2m.univ-amu.fr/evenements/tba-mathilde-guillaud/ SUMMARY: (...): Repartition of smooth integers under additive constraints. DESCRIPTION:: It is known by everyone that it's difficult to efficiently co mpute the factorization of a big integer in general. However\, it becomes easy when this integer has only small prime divisors. Those integers are called smooth (or sometimes friable) and they have been of a particular in terest in the 80's because of their application in cryptography.\n\nAs it is the case with prime numbers\, we would like to know how they behave und er additive constraint but one can intuit that it is a difficult problem t o deal with because in the case of primes\, this kind of question is a ric h source of unsolved problems like the famous Golbach or twin primes conje ctures.\n\nHowever\, it is possible to find a lower bound for the set of s mooth integers such that their successor is also smooth. We will also see a beautiful result which is true under the Elliot-Halberstam conjecture f or smooth integers.\n\n \n\n \;\n\n\n\nLe séminaire des doctorant⋅ es de l'I2M et du CPT à Luminy regroupe chaque semaine les doctorant⋅es du site autour d'un exposé plus ou moins (in)formel\, dans un cadre conv ivial. Il est évidemment ouvert aux étudiant⋅es de master et aux docto rant⋅es d'autres laboratoires.\n\nC'est au rez-de-chaussée du bâtiment de « l'ancienne BU »\, dans la salle « Séminaire 2 » (au fond à gau che en sortant de l'escalier si vous venez de l'étage\, au fond à droite si vous entrez par le rez-de-chaussée). Attention : l'entrée dans le la bo nécessite un badge. En cas de souci (de type : être bloqué⋅e dehor s)\, appeler le 04 91 26 95 91. CATEGORIES:Séminaire,Rencontres doctorant⋅es I2M-CPT LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de Luminy\, 13009 Marseille\, France\, X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B U\, Salle Séminaire2 (RdC):geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20230326T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR