YoVDO

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 4

Offered By: ICTP Mathematics via YouTube

Tags

Number Theory Courses Combinatorics Courses Continued Fractions Courses Platonic Solids Courses Modular Forms Courses Mirror Symmetry Courses Conformal Field Theory Courses

Course Description

Overview

Explore the fascinating connections between the Rogers-Ramanujan identities and the icosahedron in this fourth lecture of a series by Don Zagier from Max Planck/ICTP. Delve into the beautiful and unexpected relationship between these century-old mathematical formulas and the geometry of Platonic solids. Discover how the number "5" links these seemingly disparate concepts, and uncover the intricate web of mathematical topics that connect them, including number theory, modular forms, combinatorics, continued fractions, conformal field theory, and mirror symmetry. Gain insights into the wide-ranging applications of these concepts, from pure mathematics to theoretical physics, in this accessible and engaging lecture suitable for mathematicians of all levels and backgrounds.

Syllabus

The Rogers-Ramanujan identities and the icosahedron - Lecture 4


Taught by

ICTP Mathematics

Related Courses

Celestial Imprint of Bulk Geometries - Andrea Puhm
Kavli Institute for Theoretical Physics via YouTube
Holographic CFTs and Strongly Coupled AdS Matter - Alex Belin
Kavli Institute for Theoretical Physics via YouTube
The Distribution of Ground States in JT Gravity from Random Matrix Models - Clifford Johnson
Kavli Institute for Theoretical Physics via YouTube
Isometric Evolution in De Sitter Gravity - Kristan Jensen
Kavli Institute for Theoretical Physics via YouTube
Top-Down Topological Holography and Twists on Twistor Space - Natalie Paquette
Kavli Institute for Theoretical Physics via YouTube