Quantum matter from algebraic geometry


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}}

Steven Rayan University of Saskatchewan


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