TU
Kaiserslautern - Fachbereich
Mathematik AG Algebra, Geometrie und Computeralgebra Dr. Janko Böhm, Prof. Dr. M. Schulze |
Tel.: +49 (0)631/205-2257 Zi. 435, 434, 430, Geb. 48 D-67663 Kaiserslautern |
boehm@mathematik.uni-kl.de mschulze@mathematik.uni-kl.de |
Seminar: Complex Manifolds
Summer Term 2017
On 28.06.2017 the seminar will take a break.
The seminar will be Wednesdays 10:00-11:30 in 48-519 starting 31.05.2017.
First meeting on Thursday 18.05. at 10:00 in seminar room 48-438.
Please enter you preferences in the Doodle for finding a date for the seminar.
Please register online in the URM system.
The seminar will provide a systematic introduction to complex manifolds, vector bundles and cohomology.
We will look at the following list of topics:
Manifolds,
complex manifolds (Sarah Haufe),
Griffith-Harris pp.
14-18, and Fritzsche-Grauert
Subvarieties
(Felix Röhrle)
Griffith-Harris pp. 18-20, and Fritzsche-Grauert
Sheaves
and cohomology of sheaves (Jonathan Gruber)
Griffith-Harris
pp. 34-43
Vector bundles,
line bundles, sections (Fabian Zickgraf)
Griffith-Harris
pp. 66-71
Divisors
and line bundles (Jonathan Gruber)
Griffith-Harris pp. 128-139
Chow
theorem (Eriola Hoxhaj)
Griffith-Harris pp. 164-170
The targeted audience are students who have attended or are attending the lectures Computer
Algebra, Commutative
Algebra, Algebraic Geometry or Curves in Projective Space.
However, anyone with a basic knowledge of commutative algebra is welcome. Knowledge in algebraic geometry is not required.
The seminar is a good starting point if you plan to write any sort of thesis in computer algebra or algebraic geometry.
P. Griffiths, J. Harris |
Principles of Algebraic Geometry |
Wiley Classics Library |
1994 |
ISBN 978-0471050599 |
K. Fritzsche, H. Grauert |
From Holomorphic Functions To Complex Manifolds |
Springer |
2002 |
ISBN 978-0387953953 |
L. W. Tu |
An Introduction to Manifolds |
Springer |
2011 |
ISBN 978-1441973993 |
2 SWS seminar
3 credit
points
30h contact
hours for the seminar
60h
self-study hours
Please enter you preferences in the Doodle for finding a date for the seminar.
Please register online in the URM system. Write an email to boehm@mathematik.uni-kl.de if you have any issues registring.
Anyone is welcome to listen to the seminar. To obtain credit points you will have to give a talk.
Dr. Janko
Böhm Zi. 431, Geb. 48 D-67663 Kaiserslautern Tel.: +49 (0)631/205-2257 boehm@mathematik.uni-kl.de |
| Prof.
Dr. Mathias Schulze Zi. 434, Geb. 48 D-67663 Kaiserslautern Tel.: +49 (0)631/205-5489 mschulze@mathematik.uni-kl.de |
|