100453 Modern Geometry

Course offering details

Instructors: Prof. Dr. Ivan B. Penkov

Type: Lecture

Org-unit:

Course Name Abbreviation: MoGeo

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Exam

Official Course Description:
The course serves as an introduction, at the advanced level, to the basic concepts of modern geometry. It supplements the following sequence of courses: Introductory Geometry, Manifolds and Topology, Differential Geometry, and Algebraic Topology. The new course fits as the third in this sequence of courses, right after the 300-level courses, Introductory Geometry, Manifolds and Topology, and before the 400-level courses, Differential Geometry and Algebraic Topology.

The following concepts, known from the 300-level courses, should be briefly reviewed: concept of a manifold, the simplest examples of manifolds, and the concepts of homotopy.

The core of the course will consist of explaining material related to the following topics: Lie groups, homogeneous spaces, symmetric spaces, fiber bundles, e. g. vector bundles, Morse Theory, differential topology of mappings and submanifolds.

This material will provide a solid background for the 400-level courses, Differential Geometry and Algebraic Topology.

Literature
Primary Text
  • Geometry of Differential Forms
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Th, 1. Sep. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
2 Fri, 2. Sep. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
3 Th, 8. Sep. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
4 Fri, 9. Sep. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
5 Th, 15. Sep. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
6 Fri, 16. Sep. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
7 Th, 22. Sep. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
8 Fri, 23. Sep. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
9 Th, 29. Sep. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
10 Fri, 30. Sep. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
11 Th, 6. Oct. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
12 Fri, 7. Oct. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
13 Th, 13. Oct. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
14 Fri, 14. Oct. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
15 Th, 20. Oct. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
16 Fri, 21. Oct. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
17 Th, 27. Oct. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
18 Fri, 28. Oct. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
19 Th, 3. Nov. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
20 Fri, 4. Nov. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
21 Th, 10. Nov. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
22 Fri, 11. Nov. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
23 Th, 17. Nov. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
24 Fri, 18. Nov. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
25 Th, 24. Nov. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
26 Fri, 25. Nov. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
27 Th, 1. Dec. 2011 15:45 17:00 East Hall 4 Prof. Dr. Ivan B. Penkov
28 Fri, 2. Dec. 2011 15:45 17:00 East Hall 8 Prof. Dr. Ivan B. Penkov
Course specific exams
Description Date Instructors Mandatory
1. Final Exam Tue, 13. Dec. 2011 12:30-14:30 Prof. Dr. Ivan B. Penkov No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Graduate Programs > Mathematical Sciences
Class Session Overview
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Instructors
Prof. Dr. Ivan B. Penkov