Cohomology of Siegel modular varieties of genus 2 and corresponding automorphic forms

The following sections are included:

• Introduction

• The Matsushima isomorphism and related results

• Basic rudiments on Siegel modular varieties

• Example: The Matsushima isomorphism for compact quotients of Sp(2, R)

• Analytic aspect: Spherical functions

• Cohomology groups of Siegel modular groups of genus two

• The second cohomology group of Siegel modular varieties

• References