NSF-CBMS Conference on Knots and Topological Quantum Computing

Wednesday, July 9

Heritage Room (3^rd floor Nigh University Center)

8:45 – 9:15 Continental Breakfast

9:15 – 9:30 Opening Remarks (Dean John F. Barthell, College of Math & Science)

9:30 – 10:30 Knot Theory Workshop, Part I (Ara Basmajian)

10:30 –11:00 Break and informal discussion

11:00 –12:00 Knot Theory Workshop, Part II (Ara Basmajian)

12:00 – 2:00 Lunch

2:00 – 3:00 “Temperley-Lieb-Jones Categories” (Zhenghan Wang)

3:00 – 3:30 Break and informal discussion

3:30 – 4:30 “Ribbon Fusion Categories” (Zhenghan Wang)

4:45 – 6:00 Reception (hors d’oeuvres and open cash bar)

Thursday, July 10

Heritage Room (3^rd floor Nigh University Center)

9:00 – 9:30 Continental Breakfast

9:30 – 10:30 Knot Theory Workshop, Part III (Ara Basmajian)

10:30 –11:00 Break and informal discussion

11:00 –12:00 “Quantum Circuit Model and Universality” (Zhenghan Wang)

12:00 – 1:30 Lunch

1:30 – 2:30 “Approximation of Jones Polynomials” (Zhenghan Wang)

2:30 – 3:00 Break and informal discussion

3:00 – 4:00 “Efficient Triangulations I (William Jaco)

4:00 – 5:00 Informal discussion led by Tobias Hagge: “On Graphical Calculus for

Fusion Categories”

Friday, July 11

Room 109 (Math and Computer Science Building)

9:00 – 9:30 Continental Breakfast

9:30 – 10:30 “Efficient Triangulations II” (William Jaco)

10:30 –11:00 Break and informal discussion

11:00 –12:00 “Modular Functors” (Zhenghan Wang)

12:00 – 2:00 Lunch

2:00 – 3:00 “Anyonic Quantum Computers” (Zhenghan Wang)

3:00 – 3:30 Break and informal discussion

3:30 – 4:30 “Fractional Quantum Hall Liquids I” (Steve Simon)

4:30 – 4:45 Break

4:45 – 5:45 Informal discussion led by Eric Rowell: “On Braid Group Representations and Universality”

Saturday, July 12

Room 109 (Math and Computer Science Building)

9:00 – 9:30 Continental Breakfast

9:30 – 10:30 “Fractional Quantum Hall Liquids II” (Steve Simon)

10:30 –11:00 Break and informal discussion

11:00 –12:00 “Picture TQFTs” (Zhenghan Wang)

12:00 – 2:00 Lunch

2:00 – 3:00 Informal discussion led by E. Rowell: “Quantum Group and Modular

Tensor Categories”

3:00 – 3:30 Break and informal discussion

3:30 – 4:30 “Topological Qubit Liquids” (Zhenghan Wang)

4:30 – 4:45 Break

4:45 – 5:45 Informal discussion led by S. Hong: “How to Solve Pentagons”

Sunday, July 13

Room 109 (Math and Computer Science Building)

9:00 – 9:30 Continental Breakfast

9:30 – 10:30 “Classification of Topological Phases of Matter” (Zhenghan Wang)

10:30 –11:00 Break

11:00 –12:00 “Future of Topological Quantum Computing” (Zhenghan Wang)

12:00 – 1:30 Lunch

1:30 – 2:30 Informal discussion

2:30 – 3:00 Break

3:00 – 4:00 Informal discussion and “wrap-up”