Instructor:
Professor
D. P. Patil
E-mails : patil@math.iisc.ernet.in
dppatil@csa.iisc.ernet.in
|
This course is open to all students/faculty who are interested in learning
the basics of Galois Theory. The main aims of this Course are to
make students think, stimulate them into active learning and show them the
excitement of doing mathematics on their own, enthuse them into learning more
advanced topics with confidence, assist them to realize their potential, nurture
their Mathematical talent and appreciate the deep effects on the application
world.
Special efforts will be made to encourage the participants to ask questions,
raise doubts and seek clarifications in the class-room. The emphasis will be
given to motivate the development of important concepts using as many examples
as possible. These examples will range from routine to fairly sophisticated
theoretical ones.
Efforts will be made to keep the required prerequisites as low as possible.
Some exposure to Linear Algebra/Algebra will be helpful.Starting with a short
recapitulation of the basic facts of Groups, Rings and Fields (with proofs),
some classical as well as modern material will be covered. The focus of the
lectures will be on examples and constructions of Galois extensions and on
methods to compute Galois groups.
Time Table
| Day |
Time
|
Venue
|
| Monday |
11:30 -- 13:00
|
Department
of Mathematics, LH4 / LH1
|
| Wednesday |
11:30 -- 13:00
|
Department
of Mathematics, LH4 / LH1
|
|
