Mathematics

In this talk we will deepen the theory of canonical singularities and the mathematical tools needed to study and work with them. In particular, the goal of the seminar is twofold: presenting a partial classification of terminal singularities and explaining how canonical singularities reduce (in some sense) to terminal singularities. The treatment will closesly follow Miles Reid's papers "Canonical 3-folds" (M. Reid, Canonical 3-folds, in Journées de géométrie algébrique d'Angers, ed. A. Beauville, Sijthoff and Noordhoff, Alphen 1980, 273--310.) and "YPGtCS" (M. Reid, Young person's guide to canonical singularities, in Algebraic Geometry, Bowdoin 1985, ed. S. Bloch, Proc. of Symposia in Pure Math. 46, A.M.S. (1987), vol. 1, 345--414).