**Speaker**: Sayantan Khan

**Date**: 7th November 2017 (Tuesday)

**Time**: 09:15 pm – 10:15 pm

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

**Abstract**:

This talk will outline a very useful generalization of Hausdorff convergence (which will also be defined in the talk), and will involve proofs of some essential properties of this form of convergence (some proofs will be sketched, and some easy ones will be skipped). We’ll also look at ultralimits, which are a nice way of abstracting out the diagonal argument used in many proofs in analysis. Finally, we’ll have a look at some applications of the theory of Gromov Hausdorff convergence, if time permits.

**Prerequisites**: Basic knowledge of analysis, familiarity with compactness, and basic topology, i.e. definition of metric spaces.

**Area**: Topology

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