240031 Proseminar (PS) (SoSe 2016)

Contents, comment

Wir möchten verstehen, wie man vielfältige mathematische Probleme durch algebraische Methoden lösen kann. Mögliche Vortragsthemen kommen aus den folgenden Gebieten und lauten:

Algebraische Methoden in der Geometrie der Kegelschnitte
- Kegelschnitte und Quadriken
- Fokale, optische und projektive Eigenschaften der Kegelschnitte
- Die Sätze von Brianchon und Pascal
- Poncelets Porismus
- Mittelpunktskonstruktionen und Eigenwerte

Algebraische Methoden zum Lösen von Zerlegungsproblemen
- Das Paradoxon von Banach und Tarski
- Das Lösung des dritten hilbertschen Problem durch die dehnsche Invariante

Algebraische Methoden in der Arithmetik
- Der kombinatorische Nullstellensatz
- Das quadratische Reziprozitätsgesetz
- Elliptische Funktionen

Requirements for participation, required level

Das Seminar wendet sich an Studentinnen und Studenten mit Grundkenntnissen aus Analysis und linearer Algebra und dem Willen, sich in ein neues Thema einzuarbeiten. Teile der Literatur sind in englischer Sprache geschrieben. Am 11. Februar findet um 14 Uhr in V5-227 eine Vorbesprechung statt.

External comments page

https://www.math.uni-bielefeld.de/~lampe/teaching/SS16/ProseminarSS16.html

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Subject assignments

Module Course Requirements  
24-E Ergänzungsmodul Mathematik Proseminar Study requirement
Ungraded examination
Student information

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Degree programme/academic programme Validity Variant Subdivision Status Semester LP  
Mathematik (Gym/Ge als zweites U-Fach) / Master of Education (Enrollment until SoSe 2014) M.M.05 Wahlpflicht 3. unbenotet  
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Registered number: 16
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Limitation of the number of participants:
Limited number of participants: 15
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SS2016_240031@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Monday, February 15, 2016 
Last update times:
Wednesday, February 17, 2016 
Last update rooms:
Wednesday, February 17, 2016 
Type(s) / SWS (hours per week per semester)
proseminar (PS) / 2
Department
Faculty of Mathematics
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70517809