Summer Term 2014 - BMS Advanced Course
Welcome to the website! The lecture is taught by Pavle Blagojevićand Holger Reich and is a continuation of Topologie I, taught in the SoSe 2014.
Course Description
This course is a continuation of Topologie I, taught last semester. The aim of Topologie II is a skillful handling and thorough understanding of all notions of homology and cohomology including products, as well as several types of duality. The course will roughly be structured as follows:
Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis
The course will use material from P. M. Gruber, " Convex and Discrete Geometry" (Springer 2007) and various other sources. There will be brief lecture notes available for course participants with detailed pointers to the literature.
Contact
| Contact | Office Hours: | ||
| Lecture | Prof. Günter M. Ziegler | ziegler(at)math.fu-berlin.de | TBA |
| Tutorial | Miriam Schlöter | schloeter(at)math.fu-berlin.de | THU 12 - 1 PM, RM K007 |
| Tutorial | Albert Haase | a.haase(at)fu-berlin.de | TBA |
Lectures
Lectures | ||
| TUE | 10:15 - 11:45 | Arnimallee 6 Room 007/008 |
| THU | 10:15 - 11:45 | Arnimallee 3 Room 119 |
- Lecture Notes Part 1
- Lecture Notes Parts 1-2
- Here's a link to Cynthia Vinzant's (U Mich) article on spectrahedra that was mentioned in the lecture.
- Lecture Notes Parts 1-3
- Lecture Notes Parts 1-4
- Lecture Notes Parts 1-5
- Lecture Notes Parts 1-6
- Lecture notes all
Tutorials and Problems
| Tutorials | ||
| WED | 14:15 - 15:45 | Arnimallee 6, Room 007/008 |
In the tutorial, we will occasionally review topics from the lecture but mostly discuss problems and solutions to homework assignments. You are encouraged to pitch in by presenting a solution every once in a while.
Every week each student is required to solve homework assignments and hand them in. The problem sheets will be uploaded on Tuesdays and solutions should be turned in before the lecture on the following Tuesday. You will receive points for your solutions based on whether your solutions are correct and well-written.
Course requirements are the following: (1) You must score at least 50% of the total points of the problems assigned in each half of the semester. There will be 6 problem sheets in the first half of the semester. A sheet will have problems worth roughly 20 points. (2) You must pass an exam at the end of the semester which alone will determine your grade.
