All video recordings and presentation slides are saved in this Box folder: https://ucdavis.box.com/s/nrm8xph0g2sik6i1o7vmasbx7yznk0g5. 

Spring 2023

• 5 June, 2023:  Discussion on the groups Sp(n), Spin(p, q), SO(n) and their Lie algebras. Spinors. The Temperley-Lieb q Category. [Reference] 

• 1 June, 2023:  Guest talk by Prof. Cihan Okay on Simplicial Distributions and Quantum Contextuality. [arXiv: 2204.06648]

• 29 May, 2023: Matt's qual prep talk on the fractional quantum hall effect - the finale.

• 22 May, 2023: Fractional quantum hall effect - Part 3 by Matt.

• 15 May, 2023: Fractional quantum hall effect - Part 2 by Matt.

• 8 May, 2023: Discussion on quantum field theory basics.

• 1 May, 2023: Fractional quantum hall effect - Part 1 by Matt and Sanchayan's talk on monoidal tensor categories.

• 24 April, 2023: Mini-lecture series on Lagrangian Mechanics by Angel. Lattice QFT algebra by Matthew.

• 3 April, 2023: Basics of anyonic fault-tolerance and operator algebra with Andrew and Sanchayan.

Winter 2023

• 13 February, 2023: Discussion about the toric with Haihan and Sanchayan. We used Eric Samperton's QCaT slides: https://www.math.purdue.edu/~esampert/QCaT/notes/QCaTNotes.pdf.

• 6 February, 2023: Braid representations and definition of Temperley-Lieb algebra by Daniel. See related blog post.
  Introduction to both the physics and math aspects of the toric code model by Sanchayan.

• 30 January, 2023: Introduction to topological quantum computing by Gavin.

• 23 January, 2023: Blackboard talks on Hamiltonian systems with an introduction to symplectic geometry by Angel, on braid groups by Daniel and  on Clifford algebras by Simon.

• 16 January, 2023: Introducing our new members Simon, Ian and Gavin. Some discussion of quantization, spinors and Clifford algebras.

• 9 January, 2023: Elements of 3-manifold topology, computational complexity of determining PL manifold classes and further discussion on the Jones polynomial. 

• 2 January, 2023: Presentations on knots, Skein relations and the Jones polynomial. Another presentation on the basics of geometric topology.

Fall 2022

• 27 December, 2022: After Christmas orientation. Some plans to discuss the Jones polynomial in the context of the quantum circuit model.

• 14 November, 2022: Casual discussion about homology and cohomology. See slides at https://sanchayandutta.cs.ucdavis.edu/files/Homological_Codes.pdf.

• 7 November, 2022: Our first meeting. Introducing our members to the reading group. We spoke briefly about the history and the landscape of topological quantum field theories and topological quantum computing based on Eric Samperton's UIUC course MATH 595 Quantum, Complexity, and Topology (QCaT) from Spring 2021.