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54004-01 - Vorlesung: Introduction to Arithmetic of Dynamical Systems (6 KP)
| Semester | Frühjahrsemester 2019 |
| Weitere Semesterveranstaltungen zu diesen KP |
54004-01 (Vorlesung) 54004-02 (Übung) |
| Angebotsmuster | unregelmässig |
| Dozierende | Jung Kyu Canci (jungkyu.canci@unibas.ch, BeurteilerIn) |
| Inhalt | Arithmetic of Dynamical Systems is a new branch of mathematics. Dynamical Systems has a long history and tradition. Henry Poincarré is considered the founder of this theory in the late 19th century. Essentially dynamical systems described a phenomena that changes with the time. Therefore dynamical systems concern a big class of problems in mathematics, mechanics and physics. I this course we are going to consider some arithmetical aspects of this theory. More concretely we will study dynamical systems associated to rational functions (i.e. fraction of two polynomials). We are going to consider some geometry and algebra to solve problem in Arithmetic of Dynamical Systems. Many of the notions and theorems, we are going to see, are quite recent and were developed in the last 20 years. |
| Literatur | We will provide lecture notes of the course. Reference Books: J.H. Silverman "The Arithemtic of Dynamical Systems" Springer GTM volume 241 (2007) A.F. Beardon "Iteration of Rational Functions" Springer GTM (2000) |
| Unterrichtssprache | Englisch |
| Einsatz digitaler Medien | kein spezifischer Einsatz |
| Intervall | Wochentag | Zeit | Raum |
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Keine Einzeltermine verfügbar, bitte informieren Sie sich direkt bei den Dozierenden.
| Module |
Modul: Algebra und Zahlentheorie (Bachelorstudium: Mathematik) Modul: Vertiefung Mathematik (Bachelorstudium: Computational Sciences) |
| Prüfung | Lehrveranst.-begleitend |
| Hinweise zur Prüfung | There will be an oral exam for the 6 credits. There will be a weekly exercise-sheet. Solve those exercises is not mandatory but important for the preparation of the exam. |
| An-/Abmeldung zur Prüfung | Anm.: Belegen Lehrveranstaltung; Abm.: stornieren |
| Wiederholungsprüfung | keine Wiederholungsprüfung |
| Skala | 1-6 0,5 |
| Belegen bei Nichtbestehen | beliebig wiederholbar |
| Zuständige Fakultät | Philosophisch-Naturwissenschaftliche Fakultät, studiendekanat-philnat@unibas.ch |
| Anbietende Organisationseinheit | Fachbereich Mathematik |