## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Isoperimetric Inequality

#### Abstract :

Main aim of this talk is to present a fairly elementary proof of the classical Isoperimetric Inequality, which is precisely as follows: $$| \partial \Omega |_{N-1} \geq N \omega^{\frac{1}{N}}_N |\Omega|^{1-\frac{1}{N}}$$ where $\Omega$ is a smooth domain in $\mathbb{R}^N$ and $|.|_{N-1}, |.|$ are $(N-1)$ dimensional surface measure and Lebesgue measure respectively and $\omega$ is the volume of unit ball in $\mathbb{R}^N$. We will be using some simple ideas of PDE and Alexandrov's moving plane method.

Key Speaker Ujjal Das, Research Scholar, The Institute of Mathematical Sciences (IMSc) Chennai
Place NAC 519
Start Time 3:00 PM
Finish Time 4:00 PM