In SAP HANA Administration Perspective, you can select your HANA system in Studio and navigate to Administration option at the top.
When you go to Alerts tab, you can see all the current alert. You can see Description of alerts, date and time when an alert is raised and priority of alert- low, medium or high.
From drop down, you can also check All Alerts raised in the past.
Also note that you can also check alerts raised between specific time duration. To set the filters, click on Filter icon on right side.