You can view a complete list of events in the spec here.
For example:
$("video").bind("ended", function() {
alert("I'm done!");
});
You can bind to the event on the element like anything else in jQuery…as for your comment question, whatever element you’re delivering for IE, yes, it would need a separate handler rigged up to whatever event it provides.
For the other question about timecode, the timeupdate event occurs when it’s playing, and the durationchange event occurs when the overall duration changes. You can bind to and use them just like I showed with the ended event above. With timeupdate you’ll probably want the currentTime property, with durationchange you’ll want the duration property, each of which you get directly off the DOM object, like this:
$("video").bind("durationchange", function() {
alert("Current duration is: " + this.duration);
});