LunCH Lecture: Mathematics – Anurag Bishnoi about Finite geometries

What happens if we just keep the basic point-line incidence axioms of the Euclidean plane, and ask for a finite collection of points and lines satisfying them? Mathematical musings like this led to the invention of various so-called finite geometries in the late 19th century. It has since been realised that these objects are ubiquitous in various mathematical disciplines like group theory, coding theory, theoretical computer science, graph theory and combinatorics. In this lecture, we will learn about these geometries and some of their applications.

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