School of Mathematics Colloquium

The inverse and implicit function Theorems

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

Asia/Kolkata
AG-69 (TIFR, Mumbai)

AG-69

TIFR, Mumbai

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