Скачать или смотреть Eric Rowell - Classification of Modular Fusion Categories, Part 2 of 2 - IPAM at UCLA

Recorded 31 August 2021. Eric Rowell of Texas A&M University, College Station, presents "Classification of Modular Fusion Categories" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. This is the second of two talks that Eric presented.
Abstrat: Most properties of topological phases of matter TPMs in 2D are captured by the algebraic models: unitary modular tensor categories (UMTCs). A classification of UMTCs would provide something like a periodic table for TPMs, and this problem has been pursued from many different perspectives. In this lecture we will review what is known, some open problems and a few of the successful techniques from category theory, algebraic geometry, number theory and representation theory.
Learn more online at: http://www.ipam.ucla.edu/programs/sum...