PIRSA:23040161 Scientific Series Mathematical physics

DOI10.48660/23040161

Series: Mathematical Physics

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

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

@misc{ pirsa_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}}
}

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

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