Veranstaltungskalender

To any ideal triangulation of a surface with marked points Labardini-Fragoso has associated a quiver with potential, thus linking the work of Fomin, Shapiro and Thurston on cluster algebras arising from marked surfaces with the theory of quivers with potentials and their mutations initiated by Derksen, Weyman and Zelevinsky.

We show that for any surface without boundary, the associated quivers with potentials are not rigid and their (completed) Jacobian algebras are finite-dimensional, symmetric and derived equivalent. This settles a question that has been open for some time and also provides an explicit construction of infinitely many families of finite-dimensional symmetric Jacobian algebras. Moreover, these Jacobian algebras are closely related to Brauer graph algebras arising naturally from triangulations of the surface.

www.iazd.uni-hannover.de/oberseminar.html

Dr. Sefi Ladkani (Universität Bonn)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Montag, 13. Mai 2013, 14:15 bis 15:45 Uhr

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

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