Quantum matter from algebraic geometry


Rayan, S. (2023). Quantum matter from algebraic geometry. Perimeter Institute for Theoretical Physics. http://pirsa.org/23040161


Rayan, Steven. Quantum matter from algebraic geometry. Perimeter Institute for Theoretical Physics, Apr. 28, 2023, http://pirsa.org/23040161


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

Steven Rayan University of Saskatchewan

Source Repository PIRSA
Talk Type Scientific Series


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