## Geometry Seminar - Abstracts

### Talk

Tuesday 2 November 2021, 16:00-17:00 in HG00.310

**Jordy van Velthoven** (TU Delft)

*Density theorems for discrete series restricted to lattices*

### Abstract

The density theorem provides a trichotomy that precisely describes the spanning properties of a given lattice orbit of a discrete series representation in terms of the lattice co-volume. An elementary proof based on frame and representation theory will be outlined. In addition, recent quantitative aspects of the density theorem for classes of Lie groups will be presented.

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