RIT on Geometry and Physics Archives for Academic Year 2020


Organizational Meeting

When: Thu, August 29, 2019 - 3:30pm
Where: MTH 1313


Introduction to TQFTs (topological quantum field theories)

When: Thu, September 5, 2019 - 3:30pm
Where: Kirwan Hall 1313

Speaker: Jacob Erickson (UMCP) -
Abstract: This will be a simple introduction to topological quantum field theories, following Atiyah. See references 1 and 2 on the RIT web page.

1-dimensional TQFTs

When: Thu, September 12, 2019 - 3:30pm
Where: Kirwan Hall 1313
Speaker: Jacob Erickson (UMCP) -
Abstract: Continuing from last week, this will be a quick review of what TQFTs look like in dimension 1, with concrete examples and computations.

Introduction to SPT (symmetry-protected topological) phases

When: Thu, September 19, 2019 - 3:30pm
Where: Kirwan Hall 1313
Speaker: Naren Manjunath (UMCP Physics) -
Abstract: This will be an introduction to the idea of symmetry-protected phases of matter.

Introduction to invertible TQFTs

When: Thu, September 26, 2019 - 3:30pm
Where: Kirwan Hall 1313
Speaker: Ian Teixeira (UMCP Math) -

Frobenius Algebras and the Classification of 2-Dimensional TQFTs

When: Thu, October 3, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Steven Jin (UMCP Math) -

Abstract: References for this subject are Lowell Abrams, Two-dimensional topological quantum field theories and Frobenius algebras, J. Knot Theory Ramifications 5 (1996), no. 5, 569-587, and Stephen Sawin, Direct sum decompositions and indecomposable TQFTs, J. Math. Phys. 36 (1995), no. 12, 6673-6680.

Topological Aspects of Gauge Fields

When: Thu, October 10, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Srivatsa Tata (UMCP Physics) -

Abstract: This will be about “topological” terms in gauge theories, for example terms involving Chern classes and Chern-Simons terms.

Topological Phases and Anomalies

When: Thu, October 17, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Jerry Yao-Chieh Hu (UMCP Physics) -

Abstract: This will include perturbative anomalies for continuous symmetries and projective phases and group cohomology.

Topological Phases and Anomalies, II

When: Thu, October 24, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Jerry Yao-Chieh Hu (UMCP Physics) -


Abstract: This will continue the discussion from last time, with an emphasis on projective phases and group cohomology. You can find notes at
https://sites.google.com/view/jerry-yc-hu/miscellaneous

Pell surfaces, joint with Algebra/Number Theory

When: Thu, October 31, 2019 - 3:30pm
Where: Kirwan Hall 1313

Speaker: Janos Kollar (Princeton Univ.) - https://web.math.princeton.edu/~kollar/
Abstract: We describe recent results on polynomial solutions of Pell's
equation, a topic started by Abel. We then use these results to exhibit
some unsolvable problems in algebraic geometry.

Chern-Simons Theory with Finite Gauge Group

When: Thu, November 7, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Sze Hong Kwong (UMCP Math) -

Abstract: This will be based on the paper of Freed and Quinn in Comm. Math. Physics 156 (1993), no. 3, 435-472, arXiv:hep-th/9111004.

Chern-Simons Theory with Finite Gauge Group, part 2

When: Thu, November 14, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Sze Hong Kwong (UMCP Math) -

Abstract: This will be based on the paper of Freed and Quinn in Comm. Math. Physics 156 (1993), no. 3, 435-472, arXiv:hep-th/9111004.

Fermionic SPT states, spin TQFTs and fermionic path integrals

When: Thu, November 21, 2019 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Jerry Yao-Chieh Hu (UMCP Physics) -


Abstract: This will continue the discussion from before. You can find notes at
https://sites.google.com/view/jerry-yc-hu/miscellaneous

Extended TQFTs and the extended cobordism hypothesis

When: Thu, December 5, 2019 - 3:30pm
Where: 1313 Kirwan Hall

Speaker: Noah Chrein (UMCP Math) -
Abstract: This will be a survey of some of the ideas in Jacob Lurie's famous 2008 paper, "On the classification of topological field theories"

Organizational Meeting for Spring Semester

When: Thu, January 30, 2020 - 3:30pm
Where: MTH 1313


Review of SPT states

When: Thu, February 6, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Jerry Yao-Chieh Hu (UMCP Physics) -

Kitaev's 10-fold way

When: Thu, February 13, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313

Speaker: Eric Kuo (UMCP Physics) -
Abstract:This talk will be about the famous paper "Periodic table for topological insulators and superconductors" by Alexei Kitaev, https://arxiv.org/abs/0901.2686.

Kitaev's 10-fold way (cont'd)

When: Thu, February 20, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313

Speaker: Eric Kuo (UMCP Physics) -
Abstract: More on Kitaev's paper https://arxiv.org/abs/0901.2686.

2D Pin TQFTs and the Dimer Model

When: Thu, February 27, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Sri Tata (UMCP Physics) -

Spin TQFTs

When: Thu, March 5, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313
Speaker: Jerry Yao-Chieh Hu (UMCP Physics) -

Computations from Freed-Hopkins

When: Thu, March 12, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313,
Speaker: Steven Jin (UMd) -

Computations from Freed-Hopkins (cont'd)

When: Thu, March 26, 2020 - 3:30pm
Where: MTH (Kirwan Hall) 1313,
Speaker: Ian Teixeira (UMd) -