# Geometrizing the minimal representations of even orthogonal groups

@article{Lafforgue2011GeometrizingTM,
title={Geometrizing the minimal representations of even orthogonal groups},
author={V. Lafforgue and S. Lysenko},
journal={arXiv: Representation Theory},
year={2011}
}
• Published 2011
• Mathematics
• arXiv: Representation Theory
• Let X be a smooth projective curve. Write Bun_{SO_{2n}} for the moduli stack of SO_{2n}-torsors on X. We give a geometric interpretation of the automorphic function f on Bun_{SO_{2n}} corresponding to the minimal representation. Namely, we construct a perverse sheaf K on Bun_{SO_{2n}} such that f should be equal to the trace of Frobenius of K plus some constant function. We also calculate K explicitely for curves of genus zero and one. The construction of K is based on some explicit geometric… CONTINUE READING
6 Citations