# Mathematics Colloquia and Seminars

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### Entanglement entropy through representations of quasi-local algebras

**Student-Run Applied & Math Seminar**

Speaker: | Alvin Moon, UC Davis |

Related Webpage: | https://www.math.ucdavis.edu/~asmoon/ |

Location: | 2112 MSB |

Start time: | Thu, Nov 9 2017, 12:10PM |

It is known that in one dimension, an area law for entanglement entropy persists through small perturbations of the system. In this talk, I will describe an argument of T. Matsui giving an expression of entanglement entropy for a state in terms of the associated cyclic representation of the quasi-local algebra. I will demonstrate that the effect of perturbations on the entropy is represented through “local twisting” of the cyclic vector.

If you would like to help us estimate how much pizza to order you can RSVP at this link, even if you aren't sure you can make it: https://docs.google.com/spreadsheets/d/1wyOmPJvaqsSngBuIcjnN3vLAWeRFTyru47HFaT0wlMc/edit#gid=652435293 (Iphone users, be careful to choose the correct date).