School of Mathematics Colloquium

The inverse and implicit function Theorems

by Prof. M.S. Raghunathan (IIT, Mumbai)

Thursday, June 15, 2017 from to (Asia/Kolkata)
at TIFR, Mumbai ( AG-69 )
Description
The inverse and implicit function theorems for smooth functions on open
sets in Euclidean spaces \R^n are the foundations on which differential
topology is built. The real analytic versions of the theorems have
analogues over p-adic fields as well. In this talk I will give a proof
of analytic version of the theorems which works uniformly for the p-adic
cases as well as the real or complex cases. I will also indicate some
interesting applications of the theorems