*Warning! The directory is not yet complete and will be amended until the beginning of the term.*

# 250007 SE Seminar: Algebra (2021W)

Continuous assessment of course work

## Labels

ON-SITE

## 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).

- Registration is open from
**Mo 13.09.2021 00:00**to**Mo 27.09.2021 23:59** - Deregistration possible until
**Su 31.10.2021 23:59**

## Details

max. 25 participants

Language: English

### Lecturers

### Classes (iCal) - next class is marked with N

N
Monday
04.10.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
11.10.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
18.10.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
25.10.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
08.11.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
15.11.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
22.11.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
29.11.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
06.12.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
13.12.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
10.01.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
17.01.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
24.01.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Monday
31.01.
10:00 - 11:30
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

## Information

### Aims, contents and method of the course

### Assessment and permitted materials

Oral presentation; participation in the discussions

### Minimum requirements and assessment criteria

positively evaluated oral presentation

### Examination topics

Content of the seminar

### Reading list

compare first meeting in 4th of october 2021. Also see the moodle account corresponding to the seminar

## Association in the course directory

MALS

*Last modified: We 15.09.2021 12:48*

and Algebra 1,2. If participants happen to have more knowledge (e.g. from algebraic number theory) it is possible

to explore further topics from the field of algebra/number theory.A description of possible themes for the seminar can be found in the moodle account corresponding to the seminar (2021W 250007-1 Seminar: Algebra)a. Field theory (prerequisites Algebra 1,2): We want to explore the structure of algebraic and not necessarily algebraic field extensions in more detail. This

needs more methods and tools from Algebra beyond the content of Algebra 1,2 which generally are of fundamental

importance (tensor product of modules, Derivations and Differentials). Applications include the structure theorem for normal extensions, Galois theory for inseparable extensions, methods for computing Galois groups, Dimension of fields, ...b. Quadratic forms (prerequisites Algebra 1,2). Topics are classification of quadratic forms, Witt ring of a field k (this is an algebraic invariant of k), structure of orthogonal and symplectic groups, Clifford algebras and Spin groups.c. Algebraic curves (prerequisites: Algebra 1,2, basic topology, complex and multivariable analysis). Literature: F. Kirwan "Complex algebraic curves"Previous knowledge of participants and the seminar's topic will be discussed in the first meeting on 4th of October.