Course

MATH-680: Monstrous moonshine

Summary

The monstrous moonshine is an unexpected connection between the Monster group and modular functions. In the course we will explain the statement of the conjecture and study the main ideas and concepts leading to its proof. Our final goal is to study Borcherd's proof of the Moonshine conjecture.

Lectures

Instructor

Maryna Viazovska

Maryna Viazovska did her bachelor studies at the Kyiv National Taras ShevchenkoUniversity and completed her MSc at the Technical University Kaiserslautern.She obtained her PhD in 2013 in Bonn.She was a postdoctoral researcher at the Institut des Hautes Etudes Scientifiquesand at the Humboldt University of Berlin, and in 2017 was a Minerva DistinguishedVisitor at Princeton University. She joined EPFL in 2017 as Tenure-Track AssistantProfessor and was promoted Full Professor in 2018.

Official source

https://edu.epfl.ch/coursebook/en/monstrous-moonshine-MATH-680

Moodle Page

http://go.epfl.ch/MATH-680

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Summary

Lectures

Instructor

Maryna Viazovska

Official source

https://edu.epfl.ch/coursebook/en/monstrous-moonshine-MATH-680

Moodle Page

http://go.epfl.ch/MATH-680

About this result

Lectures in this course (11)

Weyl Characters and Borcherds Products Log in to Mediaspace to watch this video

Explores Weyl characters, Macdonald's identities, and Borcherds products in Euclidean space.

Monster Group Construction Log in to Mediaspace to watch this video

Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.

Monster Group: Representation Log in to Mediaspace to watch this video

Explores the Monster group, a sporadic simple group with a unique representation theory.

Macdonald identities Log in to Mediaspace to watch this video

Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.

Monstrous Moonshine Log in to Mediaspace to watch this video

Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.

Related courses (29)

MATH-410: Riemann surfaces

This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...

PHYS-431: Quantum field theory I

The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions. ...

CS-101: Advanced information, computation, communication I

Discrete mathematics is a discipline with applications to almost all areas of study. It provides a set of indispensable tools to computer science in particular. This course reviews (familiar) topics as diverse as mathematical reasoning, combinatorics, disc ...

MATH-213: Differential geometry I - curves and surfaces

This course serves as an introduction to classical differential geometry, which studies the geometric properties of curves and surfaces in the Euclidean space. ...

MATH-111(e): Linear Algebra

L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire et ses applications. ...