The topology of Ag and Its Compactifications
Paper in proceedings, 2018

We survey old and new results about the cohomology of the moduli space Ag of principally polarized abelian varieties of genus g and its compactifications. The main emphasis lies on the computation of the cohomology for small genus and on stabilization results. We review both geometric and representation theoretic approaches to the problem. The appendix provides a detailed discussion of computational methods based on trace formulae and automorphic representations, in particular Arthur’s endoscopic classification of automorphic representations for symplectic groups.

Author

Klaus Hulek

University of Hanover

Orsola Tommasi

Chalmers, Mathematical Sciences, Algebra and geometry

Abel Symposia

2193-2808 (ISSN) 2197-8549 (eISSN)

Vol. 14 135-193

Abel Symposium on Geometry of Moduli, 2017
Svolvær, Norway,

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

DOI

10.1007/978-3-319-94881-2_6

More information

Latest update

1/10/2019