# Online: Seminar, Joost Slingerland (National University of Ireland Maynooth), Exploring Small Fusion Rings and Tensor Categories #### calendar\_today Date and Time **October 20, 2020** 10:00AM - 10:00AM EDT #### pin\_drop Location **Zoom** ![Joost Slingerland](/sites/g/files/omnuum6611/files/mathpicture/files/screenshot_at_2020-10-13_14-43-46.png) **Location:** Zoom **Time:** Tuesday, October 20, 2020, 10:00 AM (Eastern US), 15:00 (UK/Eire), 16:00 (Central Europe), 22:00 (China) **Title:** Exploring Small Fusion Rings and Tensor Categories **Abstract:** I discuss some strategies for finding fusion rings of low rank (or if you prefer, fusion rules for a small number of objects) and corresponding tensor categories, or solutions to pentagon and hexagon equations. Since developing these, we have produced a large database of fusion rings by computer search, including many that we were unfamiliar with ourselves. I hope to describe the features of some of these and their generalizations at higher rank, particularly focusing on some of the less well known or studied examples, such as various rings with non-Abelian fusion. Secretly I am of course hoping that the audience will recognize some of these and share interesting information about them! This is very much work in progress. I also hope to say something about potential applications, for example to anyons on wire networks, and will briefly introduce some tools we are building to make it easy to explore and use these rings and categories. **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/slingerland_seminar_oct_20_2020.pdf) --- Share on:- [ Facebook ](#) - [ Twitter ](#) - [ Linkedin ](#) Save: [ Add to calendar calendar\_today ](https://mathpicture.fas.harvard.edu/node/1534075/event-feed.ics) Copy link link