**abstract:**
Let (S, M) be unpunctured surface with marked points, with
genus g and b boundary components. A surface algebra arises from a
cut of an ideal triangulation of (S, M). In a joint work with Yvonne
Grimeland, we associate to any surface algebra and any generating set
of the fundamental group of S, an element in Z
2g+b
. We show that this
element determines the derived equivalence class of the algebra up to
homeomorphism of the surface. In this talk I will explain this result,
the main ingredients of the proof, and the information we can deduce
on the corresponding derived categories.

Mon 2 Feb, 10:00 - 10:40, Aula Dini

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