The moduli space of quasistable spin curves / Rank 0 Asymptotic Bridgeland stability

Abstract: Young BRAG

Speaker 1: Danny Taboada (UFF)

Title: The moduli space of quasistable spin curves Abstract: We study a compactification of the moduli space of theta characteristics, giving a modular interpretation of the geometric points and describing the boundary stratification. This space is different from the moduli space of spin curves. The modular description and the boundary stratification of the new compactification are encoded by a tropical moduli space. We show that this tropical moduli space is a refinement of the moduli space of spin tropical curves. We describe explicitly the induced decomposition of its cones. This is a joint work with Abreu and Pacini.

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Speaker 2: Victor Pretti (UNICAMP)

Title: Rank 0 Asymptotic Bridgeland stability

Abstract: Bridgeland stability is a modern tool to study stability of objetcs in triangulated categories, and specially in the derived category of coherent sheaves over a smooth projective variety. Its asymptotic version, as studied by Bridgeland, Bayer and Jardim--Maciocia, is known to behave like Gieseker stability for sheaves in various situations. In this seminar we will focus on Bridgeland stabilities over the projective space P^3 and its asymptotic behaviour for rank zero objects to prove their respective relation with Gieseker stability for sheaves.

algebraic geometry

Audience: researchers in the topic

Comments: Two 30 min presentations by PhD students or recently graduated PhDs.

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Brazilian algebraic geometry seminar

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Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w

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