I will report on recent results on the existence and properties of p-adic L-functions for groups of high rank and applications thereof to generic non-vanishing of twisted central L-values.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246