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250130 VO Algebraic Theory of Differential Equations (2020S)
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Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Tuesday
03.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
04.03.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
10.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
11.03.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
17.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
18.03.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
24.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
25.03.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
31.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
01.04.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
21.04.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
22.04.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
28.04.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
29.04.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
05.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
06.05.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
12.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
13.05.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
19.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
20.05.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
26.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
27.05.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday
03.06.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
09.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
10.06.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
16.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
17.06.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
23.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
24.06.
09:45 - 10:30
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday
30.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
In this course we will look at linear ordinary differential equations with polynomial, holomorphic or meromorphic coefficients from an algebraic point of view. As such, a rich panorama of techniques and results unfolds:The Euler-Gauss hypergeometric differential equation, hypergeometric series, regular and irregular singular points, normal forms of ode's, Picard-Fuchs equations, Apéry's differential equation, irrationality of odd values of the zeta-function, modular forms and elliptic curves, the monodromy representation, the Riemann-Hilbert correspondence, differential Galois theory, fundamental groupds and analytic continuation, indicial equations, D-modules and the Weyl algebra, linear recursions, lattice walks, enumerative combinatorics.Nevertheless, the approach will be mostly elementary and does not require a huge amount of prerequisites.
Assessment and permitted materials
Minimum requirements and assessment criteria
Examination topics
Reading list
Association in the course directory
MALV; MANV
Last modified: Mo 12.10.2020 13:29