From: propp@math.mit.edu (Jim Propp) Newsgroups: sci.math.research Subject: Taniyama-Weil proved - details? Date: 22 Jul 1999 20:56:24 -0400 Organization: MIT Department of Mathematics Lines: 8 Approved: Daniel Grayson, dan@math.uiuc.edu, moderator for sci.math.research Message-ID: <7n8ejo$po3@runge.mit.edu> NNTP-Posting-Host: orion.math.uiuc.edu Originator: dan@orion.math.uiuc.edu

The proof of the Taniyama-Shimura-Weil Conjecture is the work of Breuil, Conrad, Diamond, and Taylor, building on Wiles' proof of the semistable case. Last I heard, Diamond was still calling it a "tentative theorem" (pending a careful check of the details), but Conrad says he's 99% certain that the method has no errors.

Jim Propp