Fiches de cours

Modular forms and applications

MATH-511

Enseignant(s) :

Viazovska Maryna

Langue:

English

Summary

In this course we will introduce core concepts of the theory of modular forms and consider several applications of this theory to combinatorics, harmonic analysis, and geometric optimization.

Content

Learning Prerequisites

Required courses

Complex analysis, harmonic analysis, discrete mathematics, a basic course in topology.

Recommended courses

Riemann surfaces, Riemannian manifolds, Lie groups, analytic number theory.

Assessment methods

70% of the final grade are awarded for the final exam and 30% of the grade come from the homework done during the semester.

 


Resources

Bibliography

  1. A first course in modular forms Fred Diamond; Jerry Shurman; 2005
  2. The 1-2-3 of modular forms : lectures at a summer school in Nordfjordeid, Norway, [June 2004]

Ressources en bibliothèque
Moodle Link

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand