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Conference talk delivered by Michele Graffeo from SISSA, Italy, focusing on double nested Hilbert schemes of points on smooth curves. Explore advanced algebraic geometry concepts through this presentation given at the 8th edition of the "Geometry in Algebra, Algebra in Geometry" workshop hosted by IMPA in Rio de Janeiro. Delve into the mathematical structures and properties of Hilbert schemes, examining how they relate to smooth curves and their geometric interpretations. Learn about the theoretical foundations and recent developments in this specialized area of algebraic geometry, presented as part of a comprehensive workshop designed to foster exchange between researchers working at the interface of geometry and algebra. Gain insights into cutting-edge research in algebraic geometry from an expert in the field, with the presentation forming part of a broader program that includes minicourses and invited lectures covering various aspects of geometric and algebraic mathematics.
