Department of Mathematics
Indian Institute of Science
Bangalore 560 012
GRADUATE SEMINAR
Speaker |
: |
Mr. Sanjiban Santra |
Affiliation |
: |
IISc, (Graduate Seminar) |
Subject Area |
: |
Mathematics
|
Venue |
: |
Lecture Hall - III, (Ground Floor) Dept of Mathematics
|
Time |
: |
4.00 pm
|
Date |
: |
30th May (Tuesday) & 6th June (Tuesday), 2006
|
Event Title |
: |
An Introduction to finite dimensional Degree and its Applications |
Abstract | : |
We will basically motivate the definition of degree. We will assume 'Sards Theorem' for continuously differentiable function and discuss the various properties of degree. Then we discuss the applications of degree theory to prove some theorem in complex analysis and algebraic topology such as Brouwer's fixed point theorem, Borsuk Ulam, Ljusternik-Schnirelmann Theorem, Rouches Theorem etc.
|