the events on

[Anonymous]

Can one say:
We are talking about the events on the fifth of May.
The police are investigating the murders on the fifth of May.

[Rusty]

Can one say: (Yes, but there may be some ambiguity).
We are talking about the events on the fifth of May. (This could mean:
1. We are going to talk about the events on the fifth of May.
2. We are talking about the events that happened on the fitth of May).
The police are investigating the murders on the fifth of May. (This could mean:
1. The police are investigating the murder that happened on the fifth of May.
2. On the fifth of May, the police will investigate the murder).