Spherelike objects and quiver constructions

Spherelike objects and quiver constructions
Speaker:  David Ploog - Freie Universität Berlin
  Thursday, May 18, 2017 at 4:30 PM Sala Riunioni II floor
The most simple kind of objects in a triangulated category are the exceptional objects. Next in complexity are objects with 2-dimensional graded endomorphism algebra; we call these "spherelike".
In the first part of the talk, I will motivate why spherelike objects are interesting, and show examples occurring in derived categories of algebras. In the second part, I will explain how spherelike objects can be collected in a new invariant of triangulated categories, the "spherelike poset". I will mention some concrete operations on quivers with relations for which we can track the growth of this poset. (Joint with Andreas Hochenegger, Milano, and Martin Kalk, Edinburgh.)

Programme Director
David Pauksztello

External reference
Publication date
April 28, 2017

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