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Over the past years, there has been substantial and rapid progress in the understanding of higher dimensional algebraic varieties in characteristic p > 0, specifically from the point of view of the minimal model program. Techniques first developed in commutative algebra and representation theory in the 1980s have begun to be employed extensively. Further development and dissemination of these methods is still needed. It has become clear that in order for further progress to be made, connections with arithmetic aspects of varieties in characteristic p > 0 must be explored and addressed. Recent applications of Berkovich spaces to birational algebraic geometry suggest one approach to deal with these arithmetic problems one encounters in characteristic p. This workshop will bring together researchers from several distinct areas within algebraic geometry and arithmetic geometry with the goal of disseminating recent techniques and forging new research connections.