ERC Consolidator Grant · 2025
Connecting Harmonic Analysis and Conformal Field Theory
The study of spectral properties of locally symmetric spaces, particularly hyperbolic manifolds, stands as a central objective of abstract harmonic analysis, with far-reaching implications across mathematics. Despite the diverse range of tools employed to establish spectral estimates in this context, the conjecturally optimal results have remained out of reach. In a seemingly unrelated realm, the conformal bootstrap has emerged as a powerful method of mathematical physics, used for elucidating conformal field theories (CFTs) in any number of dimensions. However, this method sheds little light on the problem of construction of higher-dimensional CFTs. Furthermore, it is ineffective in…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.
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