It has recently been realized that Baryon Number, a fundamental symmetry in all observed high energy physics reactions, is NOT exactly conserved in the STANDARD ELECTROWEAK (WEINBERG-SALAM) THEORY, at energies of order 10 TeV or higher. This raises the tantalizing possibility of DIRECTLY PRODUCING BARYON NUMBER VIOLATING PROCESSES IN THE NEW GENERATION OF PARTICLE ACCELERATORS, such as the SSC. The Santa Fe Workshop on Baryon Number Violation at the SSC is the first Workshop to bring together experts in the subject to address the very interesting theoretical issues in non-perturbative field theory that need to be settled in order to decide if this possibility may actually be realized.