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:4809@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20230601T170000 DTEND;TZID=Europe/Paris:20230601T180000 DTSTAMP:20241124T135256Z URL:https://www.i2m.univ-amu.fr/evenements/tba-maxime-sommella/ SUMMARY: (...): Root Systems and their Applications DESCRIPTION:: Root systems are finite sets of non-zero vectors in a Euclide an space that are subject to a list of axioms which mainly govern symmetri es between them.\nOriginally introduced by Wilhelm Killing around 1889 in order to classify simple Lie Algebras over the field of complex numbers\, root systems find applications in many mathematical areas.\n \;\nIn sp ite of their very peculiar nature\, root systems have been proven to be th e keystone of some of the greatest mathematical theories of the 20th cent ury\, among which we can mention the theories of Lie Algebras\, Lie Groups and Algebraic Groups.\n \;\nIn my talk\, I will try to give you a vis ual\, and I hope accessible\, introduction to root systems and to the basi c concepts related to them (Weyl group / basis / positive\, negative roots / coroots etc.). We will then build some fundamental root systems and giv e the Classification Theorem that classifies irreducible root systems than ks to a certain type of graph called Dynkin diagrams. In the end\, we will give an overview of the various fields of applications of root systems in the mathematical world.\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 convivi al. Il est évidemment ouvert aux étudiant⋅es de master et aux doctoran t⋅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 gauche 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 labo nécessite un badge. En cas de souci (de type : être bloqué⋅e dehors)\ , 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