On Fusion Categories III
This is the sequel of the course "On Fusion Categories II" given last semester.It introduces to the notion fusion category, which can be seen as a representation theory of the (finite) quantum symmetries. The notes and videos of the first and second parts are available at: Part I: http://www.bimsa.cn/newsinfo/526244.html Part II: https://www.bimsa.cn/newsinfo/601271.html
Lecturer
Date
13th September ~ 19th December, 2022
Website
Prerequisite
Category theory
Syllabus
1. (Chapter 7) Module categories
2. (Chapter 8) Braided categories
3. (Chapter 9) Fusion categories
2. (Chapter 8) Braided categories
3. (Chapter 9) Fusion categories
Reference
1. Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor. On fusion categories. Ann. of Math. (2) 162 (2005), no. 2, 581--642.
2. Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor. Tensor categories. Mathematical Surveys and Monographs, 205 (2015), xvi+343pp.
http://www-math.mit.edu/~etingof/egnobookfinal.pdf
2. Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor. Tensor categories. Mathematical Surveys and Monographs, 205 (2015), xvi+343pp.
http://www-math.mit.edu/~etingof/egnobookfinal.pdf
Audience
Undergraduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
2010, obtained a doctorate from Institut de Mathématiques de Marseille (I2M); 2014-2016, Postdoc in Institute of Mathematical Sciences (IMSc); 2019, One-year visitor at Yau Mathematical Sciences Center (YMSC), Tsinghua University; 2020-2024, Assistant Professor at BIMSA; 2024-now, Associate Professor at BIMSA.
Main Research Fields include Quantum Algebra, Quantum Symmetry, Subfactor, Planar Algebra and Fusion Category.
Published papers in the journals Advances in Mathematics, Quantum Topology, IMRN, etc...
Main Research Fields include Quantum Algebra, Quantum Symmetry, Subfactor, Planar Algebra and Fusion Category.
Published papers in the journals Advances in Mathematics, Quantum Topology, IMRN, etc...