# Inaugural lecture of Francqui Chair Prof. Dr. Leo Storme: Finite geometry: pure mathematics close to practical applications

- For whom
- Employees , Alumni , Press , Students , Secondary students , Secondary teachers
- When
- 19-04-2021 from 18:00 to 20:00
- Where
- Livestream
- Language
- English
- Organizer
- Prof. Dr. Leo Storme
- Contact
- Karina.Segers@vub.be
- Website
- https://we.vub.ac.be/en/inaugural-lecture-francqui-chair-prof-dr-leo-storme

In this talk, Prof. Dr. Storme presents the basic concepts of finite geometry, and a number of its most important substructures.

Finite geometry is about geometries over finite fields. The simplest finite fields are the integers modulo a prime number, a class of finite fields everybody has already calculated with. For instance, calculating with the days of the week is actually calculating modulo 7.

Geometries can be defined over finite fields. Geometries arising in such a way consist of a finite number of objects: points, lines, planes, ..., hyperplanes. Within these finite geometries, interesting geometrical substructures are investigated.

Many of these substructures are investigated because of their intrinsic geometrical properties, but it turns out very nicely that some substructures are highly relevant for research problems in other mathematical areas, such as coding theory or cryptography, where also a number of problems can be translated into equivalent problems in finite geometry.

In this talk, he demonstrates that finite geometry and coding theory are intertwined. As a case study, he shows that normal rational curves in finite geometries are equivalent to generalized Reed-Solomon codes, which are used in practical applications such as CD, DVD, QR-codes and space communications. This illustrates that research areas in pure mathematics, such as finite geometry, are very close to practical applications.

Participation is free, but registration is required at https://we.vub.ac.be/en/registration-francqui-chair-2021-lectures

## COURSE LECTURES

The inaugural lecture will be followed by a series of course lectures taking place at the following dates:

Wednesday 21st April 2021, 15:00 - 17:00: *Finite Geometry*

Thursday 22nd April 2021, 15:00 - 17:00: *Linear codes and substructures of finite geometry*

Monday 26th April 2021, 15:00 - 17:00: *Subspace codes and substructures of finite geometry*

Wednesday 28th April 2021, 14:00 - 16:00: *Extremal graph theory and finite geometry*

Thursday 29th April 2021, 15:00 - 17:00: *Applications of finite geometries for the construction of Latin squares and Sudoku's*

Wednesday 5th May 2021, 14:00 - 16:00: *Algebraic combinatorics and finite geometry*