UMD_CMNS_Physics_S1_CMYK

Geometry and Physics RIT

Date
Thu, Feb 20, 2025 3:30 pm - 4:30 pm
Location
Kirwan 1311

Description




The RIT on Geometry and Physics, a learning seminar on topics of interest
to both mathematicians and physicists, will meet this semester on Thursday
afternoons at 3:30 PM in room Kirwan 1311. The topic this semester
is "hyperbolic band theory," about matter modeled on a lattice in hyperbolic
space. A few references are:

  1.  A. J. Kollár, M. Fitzpatrick, A. A. Houck, Hyperbolic lattices in circuit quantum electrodynamics. Nature 571, 45–50 (2019). <https://arxiv.org/abs/1802.09549>
  2. A. J. Kollár, M. Fitzpatrick, P. Sarnak, A. A. Houck, Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics. Commun. Math. Phys. 376, 1909–1956 (2020). <https://arxiv.org/abs/1902.02794>
  3. S. Yu, X. Piao, N. Park, Topological hyperbolic lattices. Phys. Rev. Lett. 125, 053901 (2020). <https://arxiv.org/abs/2003.07002>
  4. Maciejko, J., Rayan, S.: Automorphic Bloch theorems for hyperbolic lattices. Proc. Nat. Acad. Sci. USA 119, e2116869119 (2022). <https://arxiv.org/abs/2108.09314>
  5. J. Maciejko, S. Rayan, Hyperbolic band theory, Sci. Adv. 7 (36) (Sept. 2021), abe9170. <https://arxiv.org/abs/2008.05489>
  6. E. Kienzle, S. Rayan, Hyperbolic band theory through Higgs bundles, Adv. Math. 409 (2022) 108664. <https://arxiv.org/abs/2201.12689>
  7. K. Ikeda, S. Aoki, and Y. Matsuki, Hyperbolic band theory under magnetic field and
    Dirac cones on a higher genus surface, J. Phys.: Condens. Matter 33 485602. <https://arxiv.org/abs/2104.13314>

Of the authors on this list, A. J. Kollár is from the Maryland physics department
and E. Kienzle is an alumnus of the RIT.

Course credit is available for undergraduates via the course number
MATH 489 and for graduate students via the course number
MATH 689.  (The course also counts toward the AMSC RIT requirement.)
You can get 1 course credit in exchange for giving a
lecture on one of the references above or a related topic.  If you
are interested in taking the course for credit, please contact me or
one of the other organizers (Richard Wentworth, Amir Gholampour,
or Jim Gates).

Because of senior job candidates Christopher Hendersonvisiting this
Thursday, January 30, and Marcus Michelen visiting the following Thursday,
February 6, the first meeting of the RIT won't be until Thursday,
February 13.