BIMSA > On Fusion Categories IV \(ICBS\)
On Fusion Categories IV
This is the sequel of the course "On Fusion Categories III" given last semester. It introduces to the notion fusion category, which can be seen as a representation theory of the (finite) quantum symmetries. It follows the book "Tensor Categories" mentioned in References. The notes and videos of the previous parts are available at:

Part I: http://www.bimsa.cn/newsinfo/526244.html

Part II: https://www.bimsa.cn/newsinfo/601271.html

Part III: https://www.bimsa.cn/newsinfo/749627.html

If you did not attend the previous semesters, you can still attend this one because the course will start by a review of the previous parts.
Lecturer
Sebastien Palcoux
Date
16th March ~ 2nd June, 2023
Location
Weekday Time Venue Online ID Password
Thursday,Friday 15:20 - 16:55 A3-2-201 ZOOM 06 537 192 5549 BIMSA
Prerequisite
It should be helpful to be a bit familiar with the general category theory, the finite group theory and the representation theory, but it is not necessary to follow the course.
Syllabus
1. Review of last parts,
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
Audience
Undergraduate , Graduate
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...