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Explore the concept of skew-gentle algebras and their connection to surface orbifolds in this lecture from the Winter School JTP series. Delve into the historical context of skew-group algebras, introduced by Reiten and Riedtmann in the 1980s, and their impact on representation theory. Discover how Geiss and de la Peña expanded on this concept in the 1990s with the introduction of skew-gentle algebras as specific skew-group algebras of gentle algebras. Learn about the geometric model of the derived category of gentle algebras developed by Opper, Plamondon, and Schroll, and understand how it can be adapted to skew-group algebras. Gain insights into the collaborative work of Claire Amiot and Thomas Brüstle as they present their findings on this intriguing mathematical topic.