The 2nd and 3rd of December there's a conference on structuralism for physics and mathematics in Bristol.
List of speakers and respondents:
Fraser MacBride (Hannes Leitgeb)
Øystein Linnebo (Katherine Hawley)
Stewart Shapiro (Richard Pettigrew)
Steven French (Jeremy Butterfield)
Oliver Pooley (David Wallace)
Simon Saunders (James Ladyman)
Not sure if I'll be down there myself, but I'd like to see my fellow Norwegian Øysten Linnebo talk on this subject (a bit of healthy patriotism). If I'm not mistaken, he wrote a review of Shapiro's book on structuralism some years back. And, as it turns out, I'm not mistaken: here's the review.