# Quantum matter from algebraic geometry

### APA

Rayan, S. (2023). Quantum matter from algebraic geometry. Perimeter Institute. https://pirsa.org/23040161

### MLA

Rayan, Steven. Quantum matter from algebraic geometry. Perimeter Institute, Apr. 28, 2023, https://pirsa.org/23040161

### BibTex

@misc{ pirsa_23040161, doi = {10.48660/23040161}, url = {https://pirsa.org/23040161}, author = {Rayan, Steven}, keywords = {Mathematical physics}, language = {en}, title = {Quantum matter from algebraic geometry}, publisher = {Perimeter Institute}, year = {2023}, month = {apr}, note = {PIRSA:23040161 see, \url{https://pirsa.org}} }

Steven Rayan University of Saskatchewan

## Abstract

The advent of topological materials has brought with it unexpected new connections between physics and pure mathematics. In particular, algebraic topology has played a significant role in the classification of topological materials. In this talk, I will offer a brief look at an emerging chapter in this story in which algebraic geometry — in particular the algebraic geometry of moduli spaces associated with complex curves — is used to anticipate new forms of quantum matter arising from 2-dimensional hyperbolic lattices. In the process, I will explain my recent joint works with each of J. Maciejko, E. Kienzle, and A. Nagy that establishes an electronic band theory for 2-dimensional hyperbolic matter.

Zoom link: https://pitp.zoom.us/j/98074477672?pwd=bmVScWx1M09EaGx2ZXZrRit6NXF5dz09