The On Demand Migration (ODM) tool gets the local timezone from the web browser being used.
So a different, local time will be displayed for different users who are accessing the UI of the tool at the same time. For example if for someone in eastern time it is 5:00 pm then if someone located in pacific time accesses the UI of the tool too at that moment then those same events and tasks will display as 2:00 pm for that pacific user.
Behind-the-scenes it's all recorded and tracked in UTC time. And then time adjustments made that are appropriate for the local time zone of the user accessing the tool.