These tiny holes allow the greens to "breath". Gasses get expelled through the open holes which allows fresh air in. The holes also allow the greens to dry out better but will also allow water into the soil profile easier once the need for irrigation returns.
Here is a USGA video on the process ...
USGA Green Section Webcast: Venting Aeration - A Benefit To Putting Greens
Member Guest next week. We've already started prepping. Now would be a perfect time for it not to rain again until next weekend.