Expository lectures on representation theory: Maurice Auslander Distinguished Lectures and Inte…
by Igusa, Kiyoshi, Martsinkovski, Alex, Todorov, Gordana, Maurice Auslander Distinguished Lectures and International Conference, falmouth, Mass.)
fromContemporary mathematics - American Mathematical Society (P…
Introduction Preliminaries Dedekind-like rings Wildness Structure of a genus Substitute for conductor squares Isomorphism classes in a genus, idele group action Web of class groups Direct sums Finite normalization Appendix A Appendix B Bibliography.
We generalize tilting with respect to a tilting module of projective dimension at most one for an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our construction is motivated by the connection between tilting and derived categories. We develop a …