3 papers
math.AG2021
Tautological classes of hyper-Kähler manifolds. Erratum
Nicolas Bergeron, Zhiyuan Li
This note is an erratum to the paper "Tautological classes on moduli spaces of hyper-Kähler manifolds." Thorsten Beckman and Mirko Mauri have pointed to us a gap in the proof of \c…
math.RT2015
The Relative Lie Algebra Cohomology of the Weil Representation
Jacob Ralston
We study the relative Lie algebra cohomology of with values in the Weil representation of the dual pair $\mathrm{Sp}(2k, \mathbb{R}) \times \mathrm{O}…
math.GR2011
On the growth of Betti numbers of locally symmetric spaces
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
We announce new results concerning the asymptotic behavior of the Betti numbers of higher rank locally symmetric spaces as their volumes tend to infinity. Our main theorem is a uni…