I know nothing about Badiou but...

some folks might be especially glad to see a new(ish) post (paper, really) at The Parallel Campaign:

The horizon of a situation cannot itself, as horizon, be bought into the foreground and examined: it is the condition of possibility for making things present. The same is true of the foundational nature of the empty set, and the axiomatic approach in general, they constitute the conditions of possibility for a situation, such that anything can appear at all.
[...]
What Badiou wants is an event that triggers the possibility of novelty from fully within a given situation, using nothing more than what is already available to the situation: its material elements. An event is immanent to a situation and always disrupts the status quo of that situation. It is a revolutionary moment and demands militant action. What an event will provoke is the transformation of a situation, not into something which completely destroys or erases the previous consistent world, but one which transforms and extends it...(read more)