I’ll be speaking in the Ohio State University Logic Seminar on Tuesday, March 7th. Here are the details:
Abstract: Ultraproducts and other nonconstructive tools often yield existence results without giving explicit values. We examine the interplay of such arguments with “proof mining” techniques that systematically extract effective information even when it is not apparent. Our main application is to differential algebra, where the existence and nature of uniform bounds are more elusive than in the algebraic case. This is joint work with Henry Towsner.