**SMS scnews item created by Boris Lishak at Thu 17 Oct 2019 1418**

Type: Seminar

Distribution: World

**Calendar1: 23 Oct 2019 1200-1300**

**CalLoc1: Carslaw 535A**

CalTitle1: Figelius -- Modular forms and applications to coding theory

Auth: borisl@dora.maths.usyd.edu.au

### Geometry and Topology Seminar

# Modular forms and applications to coding theory

### Michael Figelius (Seigen)

October 23, 12:00-13:00 in Carslaw 535
Seminar schedule

Please join us for lunch after the talk.

**Abstract:**

Modular forms are complex valued functions on the upper half plane, which have a power series expansion. They are of high interest in pure mathematics. Not only are they interesting in their own right, they also have applications in number theory, geometry, quantum field theory, cryptography, coding theory and many more areas.

We will give an overview on what a modular form actually looks like and we will present a nice way to construct weight 2 modular forms for some congruence subgroups by hand using Manin's approach. Modulo a prime p one ends up with linear codes, which we studied and obtained several properties related to vector spaces of modular forms.