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Home » GT Program Seminar: Geometry of Moduli Spaces via Wall-Crossing


GT Program Seminar: Geometry of Moduli Spaces via Wall-Crossing October 18, 2022 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Fatemeh Rezaee (University of Cambridge ; MSRI - Mathematical Sciences Research Institute)
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Hilbert schemes of space curves are one of the most classical moduli spaces in algebraic and enumerative geometry, yet there are only a handful of examples that are fully understood. The moduli space of Pandharipande-Thomas stable pairs is a variant of the Hilbert scheme of curves in threefolds so that the extra points can be handled more effectively. In this talk, after a brief introduction to the algebro-geometric background material, I will explain how the approach of wall-crossing in the Bridgeland stability space and techniques from derived algebraic geometry help to study these moduli spaces.

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