## Geometry Seminar - Abstracts

### Talk

Monday 6 March 2023, 16:00 - 17:00 in HG03.085

**Masato Wakayama** (Tokyo, NTT Institute for Fundamental Mathematics, )

*Algebra and geometry for certain quantum interaction models*

### Abstract

We focus spectral structure of the quantum Rabi model (QRM) and its asymmetric version (AQRM), which are widely studied as most fundamental models of light-matter interactions, and their covering model. The latter model is called non-commutative harmonic oscillator (NCHO) and has rich but mysterious arithmetic properties. Certain algebraic and geometric problems/conjectures arose from the study of the degeneracy of the spectrum and hidden symmetry for AQRM will be presented.

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