The first part of my talk will deal with "non-classical" partial tilting modules, that is partial tilting modules T of projective dimension at most 2 with the following property: if Hom(T,X) = 0 and Ext*(T,X) = 0 for every * > 0 , then X = 0 . The second part of my talk will deal with partial tilting (but not tilting) modules T with the above property. As we shall see, there seems to be a weak relationship between the complexes T° and the indecomposable complexes orthogonal to them. For instance,some of these complexes look like mutations of direct summands of the complexes T°, while other are completely different.
Cancellations, additions and Lego - type constructions / G. D'Este. ((Intervento presentato al XI. convegno Maurice Auslander Distinguished Lecture and International Conference tenutosi a Woods Hole Oceanographic Institute, Woods Hole, Massachusetts, USA nel 2012.
Cancellations, additions and Lego - type constructions
G. D'EstePrimo
2012
Abstract
The first part of my talk will deal with "non-classical" partial tilting modules, that is partial tilting modules T of projective dimension at most 2 with the following property: if Hom(T,X) = 0 and Ext*(T,X) = 0 for every * > 0 , then X = 0 . The second part of my talk will deal with partial tilting (but not tilting) modules T with the above property. As we shall see, there seems to be a weak relationship between the complexes T° and the indecomposable complexes orthogonal to them. For instance,some of these complexes look like mutations of direct summands of the complexes T°, while other are completely different.Pubblicazioni consigliate
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