# Online: Seminar, Yunxiang Ren (Harvard), Triangular Prism Equations and Categorification #### calendar\_today Date and Time **September 22, 2020** 10:00AM - 10:00AM EDT #### pin\_drop Location **Zoom** ![Yunxiang Ren](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/ren.png?itok=PBQEzIJi) **Location:** Zoom [https://harvard.zoom.us/j/779283357 ](https://harvard.zoom.us/j/779283357%C2%A0) **Time:** Tuesday, September 22, 2020, 10:00 AM (Eastern US), 15:00 (UK/Eire),16:00 (Central Europe), 22:00 (China) **Title:** Triangular Prism Equations and Categorification **Abstract:** Fusion categories have been extensively studied by Mathematicians and have proved to have many important applications in quantum physics. A fusion category is completely determined by a set of F-symbols which satisfies the pentagon equations. In general, the fusion categories are constructed by different approaches and their F-symbols remain unknown. In this talk, we introduce the triangular prism equations for fusion categories and show that they are equivalent to the pentagon equations. Moreover, we provide a relevant way to manage the complexity by localization, and thus a possible approach to solve them for the F-symbols. As applications, we provided new criteria for categorification and a categorical approach to the near-group construction, improving Izumi's equations. **Additional Ways to Join** Join by telephone (use any number to dial in) +1 929 436 2866 +1 312 626 6799 +1 669 900 6833 400 669 9381 China Toll-free International numbers available: [https://harvar](https://harvard.zoom.us/u/aclg6kOggb)[d.zoom.us/u/aclg6kOggb](https://harvard.zoom.us/u/aclg6kOggb) One tap mobile: +19294362866,,779283357# US (New York) Join by SIP conference room system Meeting ID: 779 283 357 <779283357@zoomcrc.com> **Attachments** --- Attachments- [ picture\_as\_pdf Flyer.pdf ](/sites/g/files/omnuum6611/files/mathpicture/files/ren_seminar_september_22_2020.pdf) --- Share on:- [ Facebook ](#) - [ Twitter ](#) - [ Linkedin ](#) Save: [ Add to calendar calendar\_today ](https://mathpicture.fas.harvard.edu/node/1529622/event-feed.ics) Copy link link