They encourage biking to the State Fair--which is big around here--at which they provide, with the help of our local cycling association, free and secure bike parking. The Fairgrounds are located just off the main MUT, so it's pretty feasible.

I haven't seen it encouraged for a lot of other events. Skhill mentioned Fourth of July festivities. In Indy, the big event happens after dusk in downtown Indy, so I don't know how feasible it is for the average person to cycle downtown. That's true for a lot of our big events that happen at night and/or in the winter--when cycling for the average person just isn't as safe or feasible.

One of our "big" daytime events is the Indy 500. Frankly, I think you have to worry about this whether in a bike or in a car, but there's a lot of drinking at the race. I'm not sure how comfortable I'd feel on a bike after the race.