CORDIS Project
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This project investigates the finite dimensional unitary representations of discrete groups, focusing on their strong convergence to regular representations. It explores the implications of this convergence in various mathematical contexts, particularly in relation to randomization techniques and spectral gaps in local…
Understanding the unitary representations of a given group G is one of the most persistent problemsof mathematics.
If G is the integers, the ensuing theory is that of the Fourier transform.
If G isthe Heisenberg group, then the resulting representation theory is the theory of matrix models ofQuantum Mechanics.
Accelerating, if G is the absolute Galois group of the rationals, the theory isdescribed by the Langlands program.My goal is to understand the finite dimensional (f.d.) unitary representat…
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