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| Semester | spring semester 2021 |
| Course frequency | Irregular |
| Lecturers | Jung Kyu Canci (jungkyu.canci@unibas.ch, Assessor) |
| Content | 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. |
| Bibliography | 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) |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Thursday | 10.15-12.00 | - Online Präsenz - |
| Date | Time | Room |
|---|---|---|
| Thursday 04.03.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 11.03.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 18.03.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 25.03.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 01.04.2021 | 10.15-12.00 | Ostern |
| Thursday 08.04.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 15.04.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 22.04.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 29.04.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 06.05.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 13.05.2021 | 10.15-12.00 | Auffahrt |
| Thursday 20.05.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 27.05.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Thursday 03.06.2021 | 10.15-12.00 | - Online Präsenz -, -- |
| Monday 28.06.2021 | 08.30-16.00 | Kollegienhaus, Seminarraum 104 |
| Modules |
Module: Algebra and Number Theory (Bachelor's Studies: Mathematics) Module: Specialisation in Mathematics (Bachelor's Studies: Computational Sciences (Start of studies before 01.08.2018)) |
| Assessment format | continuous assessment |
| Assessment details | 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. |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | 1-6 0,5 |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |