A trace formula on $SL(3,Z)\backslash SL(3,R)/SO(3)$

Date: 
2017/11/29 Wed 16:30 - 17:30
Room: 
Room 110, Building No.3
Speaker: 
Satoshi Wakatsuki
Affiliation: 
Kanazawa university
Abstract: 

In this talk, we give a trace formula on
$SL(3,Z)\backslash SL(3,R)/SO(3)$, whose spectral side and
geometric side are explicitly described by the spherical
transform of any bi-invariant test function. We will also
discuss its application to Weyl's law. This is a joint work
with Werner Hoffmann and Masao Tsuzuki.