# Physics Meets Geometry: a fuzzy sphere Odyssey in critical phenomena

### APA

He, Y. (2024). Physics Meets Geometry: a fuzzy sphere Odyssey in critical phenomena. Perimeter Institute. https://pirsa.org/24030076

### MLA

He, Yin-Chen. Physics Meets Geometry: a fuzzy sphere Odyssey in critical phenomena. Perimeter Institute, Mar. 06, 2024, https://pirsa.org/24030076

### BibTex

@misc{ pirsa_PIRSA:24030076, doi = {10.48660/24030076}, url = {https://pirsa.org/24030076}, author = {He, Yin-Chen}, keywords = {Other}, language = {en}, title = {Physics Meets Geometry: a fuzzy sphere Odyssey in critical phenomena}, publisher = {Perimeter Institute}, year = {2024}, month = {mar}, note = {PIRSA:24030076 see, \url{https://pirsa.org}} }

Yin-Chen He Perimeter Institute for Theoretical Physics

## Abstract

Historically, the synergy between physics and geometry, from the times of Archimedes and Newton to the era of Einstein, has repeatedly been the catalyst for pivotal breakthroughs in physics and mathematics. In this talk, I will introduce a new narrative demonstrating how physics and geometry intertwine, leading to unexpected and significant results in critical phenomena in physics. Specifically, I will elucidate how non-commutative geometry—a mathematical framework born from the insights of physicists—offers fresh perspectives on conformal field theory, a subject with profound applications across various physics domains, from condensed matter to quantum gravity, and string theory.

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