**Speaker: **Nidhi Rathi

**Date**: 18th September 2018

**Time**: 09:15 pm-10:15 pm

**Venue**: Lecture Hall I, Department of Mathematics

**Abstract: **

We will start by looking at the classical theorem in fixed point theory — Brouwer’s Fixed point theorem. Furthermore, I will talk about its combinatorial equivalent — Sperner’s lemma and its set-theoretic equivalent — KKM lemma. We will see proofs of these equivalences. Time permitting, I would love to introduce the celebrated area of ‘Fair Division’ in Game theory and see how wonderfully it is connected to the world of topology.

**Prerequisites:**

Basic Analysis and Introduction to Topology (though not necessary). The talk will be self-contained and thus I highly encourage UG students to attend it.