[institut] [phys4phys] Group for Gravitation, Particle and Fields seminar, Friday 10 November 2023

[dgocanin]

Dear colleagues,

You are cordially invited to the seminar of the Group for Gravitation, 
Particles and Fields, which will be held on Friday, 10 November 2023, at 
11:00 at the Institute of Physics, lecture hall 360.

The talk entitled

Hyperbolic lattices

will be given by Ana Knežević (Faculty of Physics University of 
Belgrade).

Abstract: Hyperbolic lattices connect gravitational theories, topology, 
algebraic geometry, condensed matter physics, etc. They are a new form 
of synthetic quantum matter, where particles propagate coherently on the 
sites of a regular structure that appears aperiodic from the vantage 
point of Euclidean geometry but is periodic in the case of 2D hyperbolic 
space. The lattice that we are researching is embedded in the Poincaré 
disk. We will start by comparing lattices in 2D Euclidean geometry with 
those in 2D hyperbolic space. In order to put any {p,q} (Schläfli 
symbols) lattice on a Poincaré disk, we will go back to our hyperbolic 
space and analyze its symmetry.  Our main goal is to construct discrete 
symmetry of the {p,q}-lattice from the Lié algebra (continual symmetry) 
of the hyperbolic space. In this manner, we can describe the hyperbolic 
crystal on the same footing as a crystalline lattice in flat space, 
which will furthermore allow us to systematically study band structures 
on such curved-space crystals.

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Time: November 10, 2023 11:00 Belgrade

Institute of Physics, lecture hall 360, 2nd floor

BigBlueButton platform link: 
https://gravityserver.ipb.ac.rs/b/mar-ae0-f4q-qww

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Best regards,
Dragoljub