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Spherical subcategories

Oberseminar Algebra und Algebraische Kombinatorik, 19.11.12


Objects of triangulated categories with minimal (1-dimensional) endomorphism ring are called "exceptional" and are well understood. Next, objects with 2-dimensional endomorphism ring and a self-dual property are called "spherical" and also well understood. In this talk, I discuss what happens when the duality property is dropped. It turns out that such objects, called "spherelike" by us, give rise to a canonical maximal subcategory in which they become spherical.

Examples that will occur are ruled surfaces over elliptic curves, and circular quivers with relations.

(Joint work with Andreas Hochenegger and Martin Kalck.)

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Dr. David Ploog (Leibniz Universität Hannover)


Institut fĂźr Algebra, Zahlentheorie und Diskrete Mathematik


Montag, 19. November 2012, 14:15 bis 15:45 Uhr


Hauptgebäude (Gebäude 1101, A410)
Welfengarten 1, 30167 Hannover

Ein Verschieben des Kartenausschnitts ist mit gedrückter Maustaste möglich.

Die Karte wurde uns freundlicherweise von Herrn Dr. Tobias Dahinden, Institut für Kartographie und Geoinformatik zur Verfügung gestellt.