Trends in the Representation Theory of Finite Dimensional Algebras.

Intro -- Contents -- Preface -- List of Talks -- Postprojective partitions for tilting torsion pairs -- Derived canonical algebras as one-point extensions -- Special biserial algebras and their automorphisms -- Wild subquivers of the Auslander-Reiten quiver of a tame algebra -- Representation theory of noetherian Hopf algebras satisfying a polynomial identity -- Finite representation type and periodic Hochschild (co-)homology -- Introduction -- 1. Results and Examples -- 2. Full Additive Subcategories with Plenty of Projectives -- 3. Functor Categories -- 4. The Auslander-Reiten Structure Theorem -- 5. Exact Frobenius Categories with Enough Projective-Injectives -- 6. Finite Representation Type -- 7. Periodic Hochschild (Co-) Homolog -- References -- The syzygy theorem for monomial algebras -- Algebras whose derived category is tame -- Circular biextensions of tame concealed algebras -- On the distribution of AR-components of restricted Lie algebras -- Compatible deformations -- Directing objects in hereditary categories -- On subcategories associated with tilting modules -- Modules of the highest homological dimension over a Gorenstein ring -- Derived equivalence of graph algebras -- Basic results on wild hereditary algebras -- On minimal approximations of modules -- Serre duality for generalized Auslander regular algebras -- Classifying finite-dimensional semisimple Hopf algebras -- Geometry of modules: Degenerations -- The preprojective algebra of a tame quiver: The irreducible components of the module varieties -- Representation types, Tits reduced quadratic forms and orbit problems for lattices over orders -- Degenerations in module varieties with finitely many orbits.

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