John Voight (University of Sydney) will be speaking in the algebra seminar. We will go out for lunch after the talk---all are welcome to join! When: 12-1pm Friday March 7 Where: Carslaw 175 Title: Orders with cancellation Abstract: We consider orders in (possibly noncommutative) semisimple algebras over the rationals whose associated category of projective modules has a cancellation property. Examples include the group ring of a finite group over the integers. We give a complete characterization in the very interesting case when the algebra is a definite quaternion algebra over a totally real field. This is joint work with Daniel Smertnig.