ERC Consolidator Grant · 2025
Convergence of unitary representations
Understanding the unitary representations of a given group G is one of the most persistent problems of mathematics. If G is the integers, the ensuing theory is that of the Fourier transform. If G is the Heisenberg group, then the resulting representation theory is the theory of matrix models of Quantum Mechanics. Accelerating, if G is the absolute Galois group of the rationals, the theory is described by the Langlands program. My goal is to understand the finite dimensional (f.d.) unitary representations of discrete groups through the lens of how they can converge to the regular representation. I describe both weak and strong forms of convergence and focus mainly on strong convergence. I…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.