This is at UC Santa Cruz in Santa Cruz CA. Complete list of math colloquia: http://www.math.ucsc.edu/seminars/index.html October  9, 2012   The ABC Conjecture Professor Brian Conrad Stanford University The ABC Conjecture, formulated in the mid-1980's by Oesterle and Masser, is one of the most important conjectures in number theory.  It has many deep consequences, but its basic formulation can be given in entirely elementary terms.  Earlier this month, a 500-page solution was announced by Shinichi Mochizuki (building on several thousand pages of work he has carried out over the last 20 years).  In this talk, I will explain what the conjecture asserts, some evidence that supports it, and a few of its corollaries. McHenry Building - Room 4130 Tuesday - 4:00 p.m. Refreshments served at 3:30 p.m. For further information please contact the Mathematics Department at (831) 459-2969.