Date: Thursday 6th October. <br /> <br />Speaker: Michael Wemyss (Edinburgh). <br /> <br />Title: Noncommutative Minimal Models and applications to geometry. <br /> <br />Abstract: I will try and explain the ideas behind <br />noncommutative minimal models (=MMAs) and why they should not <br />only reprove parts of the MMP in dimension three, but also give us <br />extra information that currently the geometry does not "see". <br />This extra information (in the form of a quiver) should then allow us <br />to run aspects of the MMP in a much easier way. <br />The talk will mainly be example based, <br />but as an application of the homological techniques, <br />I will give (in the dimension three Gorenstein setting) <br />a characterization of the Q-factorial property <br />in terms of derived categories. <br />This is joint with Iyama. <br /> <br />Web: http://www.maths.ed.ac.uk/cheltsov/seminar/