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250096 VO Analysis on Manifolds (2024S)
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Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
- Monday 04.03. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 07.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 11.03. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 14.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 18.03. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 21.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 08.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 11.04. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 15.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 18.04. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 22.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 25.04. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 29.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 02.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 06.05. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 13.05. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 16.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Thursday 23.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 27.05. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 03.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 06.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 10.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 13.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 17.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 20.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 24.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
- Thursday 27.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Information
Aims, contents and method of the course
This course is in the core modules for the area "geometry and topology" of the master program and provides the basis for large parts of this area. It discusses the basic theory of (abstract) smooth manifolds and analysis thereon, which is the foundation of differential geometry. We will discuss the fundamental geometric objects (vector fields, tensor fields, differential forms) available on smooth manifolds and the basic operations dealing with such objects. We will also deal with integration on manifolds and Stokes theorem in the setting of manifolds with boundary. On the way we will discuss several applications of the techniques in areas between analysis and geometry, for example to Riemannian and symplectic geometry.
Assessment and permitted materials
Oral exam after the end of the course, no materials permitted.
Minimum requirements and assessment criteria
Good knowledge of the central contents of the course as well as the ability to apply them in examples. The level of the course will follow the usual standards for master courses.
Examination topics
The contents of the course.
Reading list
Lecture notes for the course are available online via http://www.mat.univie.ac.at/~cap/lectnotes.html and via moodle.
Examples for further literature:
J.M. Lee: "Introduction to smooth manifolds" (second edition), Graduate Texts in Mathematics 218, Springer 2013.
P.W. Michor: "Topics in Differential Geometry", Graduate Studies in Mathematics 93, Amer. Math. Soc. 2008.
Examples for further literature:
J.M. Lee: "Introduction to smooth manifolds" (second edition), Graduate Texts in Mathematics 218, Springer 2013.
P.W. Michor: "Topics in Differential Geometry", Graduate Studies in Mathematics 93, Amer. Math. Soc. 2008.
Association in the course directory
MGED
Last modified: Th 19.12.2024 08:06