Program Description This program aims to bring together researchers in quantum symmetries (e.g. tensor categories, operator algebras and subfactors, quantum groups and Hopf algebras, higher categories, topological and conformal field theories, etc.) for a 2 week long summer research program. Each morning will consist of 2 mini-courses and one research talk. The afternoons will be left open for research and collaboration amongst the participants. Conference poster Daily schedule All morning talks will be held in Cockins Hall 240, adjacent to the Math Tower. Coffee 8:15-9:00, held in the Math Building "fishbowl" outside Cockins Hall 240 Mini-course 9:00-10:00 Mini-course 10:15-11:15 Research talk 11:30-12:30 Lunch 12:30-2:00 Research group planning (Monday and as needed) 2:00-2:30 Practical component for Jamie Vicary's mini-course (Week 1: Tuesday and Wednesday) 2:00-3:00 in Denney Hall 253 Research groups 2:00-- , working rooms include: MA 105, 317, 254, MW 724, Denney Hall 214 and 253 Expository talks 4:15-5:15 in Denney Hall 253 Talk abstracts Speakers for week 1: June 3-7 Mini-courses: Emily Peters, Loyola University Chicago - The Extended Haagerup fusion categories and the search for exotic quantum symmetries Jamie Vicary, University of Birmingham and University of Oxford - Higher Categories and Quantum Structures [slides, handout] Research Talks: Monday: Shawn Xingshan Cui, Virginia Tech - Invariants of 3-/4-manifolds from Hopf algebras Tuesday: Chelsea Walton, University of Illinois Urbana-Champaign - Tensor algebras in finite tensor categories [Chelsea's monoidal category handout] Wednesday: Scott Morrison, Australian National University - Category theory and interactive theorem proving [abstract] Thursday: Julia Plavnik, Indiana University - Cohomology of finite tensor categories: duality and Drinfeld centers Friday: Corey Jones, The Ohio State University - Rank finiteness for braided fusion categories Expository Talks: Monday: Jacob Bridgeman - Quantum field theory and physics Tuesday: David Reutter - Monoidal 2-categories Thursday: Kari Eifler - Non-local games Friday: Ben Hayes - Introduction to C* algebras Speakers for week 2: June 10-14 Here is the link to the lecture videos. Mini-courses: André Henriques, University of Oxford - Introduction to Segal conformal field theory [handout] Makoto Yamashita, University of Oslo - Introduction to rigid C*-tensor categories Research Talks: Monday: Michael Brannan, Texas A&M - Residual finiteness for quantum automorphism groups [abstract] Tuesday: Colleen Delaney, UCSB - How to put your topological phase on a torus Wednesday: Stuart White, University of Glasgow - Simple amenable operator algebras Thursday: Claudia Pinzari, Universita' di Roma "La Sapienza" - A weak quasi-Hopf algebra approach to unitary structures and equivalences in conformal field theory Friday: Jacob Bridgeman, Perimeter Institute - Enriched topological codes [slides] Expository Talks: Monday: Dominic Verdon - Quantum functions Tuesday: Corey Jones - Ocneanu's tube algebra; James Tener - Introduction to VOAs Wednesday: Sam Evington - The Jiang-Su algebra Thursday: Jason Gaddis - Hopf algebras; David Penneys - Subfactors and unitary tensor categories Friday: André Henriques - Huang's proof of rigidity for VOAs Registration All participants, including mini-course speakers and invited speakers, are asked to register online. Registration will be open through March 1, 2019, or until the program is full. Please fill out the following registration form. Financial support Financial support will be available to (partially) fund graduate students, postdoctoral researchers, and other participants without grant support. We encourage those of you who are asking for support to share accommodations. The deadline to request financial support is March 1, 2019. Those requesting financial support should fill out the financial support section of the registration form and email a CV to Corey Jones [jones (dot) 6457 (at) osu (dot) edu] with the subject line "CV for OSU Quantum Symmetries 2019". Also, don't forget to fill out the separate accommodation form below. Accommodation Participants have many options for accommodation for the program. The most affordable option is in a single or shared dorm room. If you would like to be considered for this option, please fill out the following accommodation request form. Otherwise, there are many hotels near campus at which you can make a reservation, including: The Blackwell ($150/night) Harrison House Bed and Breakfast ($122/night) (We have reserved rooms here for the workshop, so please let us know if you would like this option.) Springhill Suites on Olentangy River Rd When making a hotel reservation, say it is for a conference at OSU to get a special rate. If you are unable to get the special rate, let one of the organizers know. There are also more hotel options near by if one of these does not work. Travel information The nearest airport is CMH, located about 10-15 minutes from campus. If you are being reimbursed for travel, you must fly on a US flag carrier as per NSF guidelines, unless otherwise verified with the organizers. If you are renting a car and are requesting reimbursement, you must rent through Enterprise or National as per the Big10 contract. summer parking information Related programs International visitors may want to couple their attendance with some additional related programs: Operator Algebras and Quantum Physics, June 3-30, 2019, Simons Center Hopf Algebras and Tensor Categories, July 29-August 9, 2019, CIMPA There is also a Graduate Advising Workshop at OSU June 1-2, 2019 right before the conference which many participants may also be interested in attending. Organization For more information, please contact: Corey Jones [jones (dot) 6457 (at) osu (dot) edu] David Penneys [penneys (dot) 2 (at) osu (dot) edu] Acknowledgements The organizers gratefully acknowledge support from: The National Science Foundation, DMS 1654159 The Mathematics Research Institute at OSU