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Explore the intricate relationship between Donaldson-Thomas invariants and geometric structures in this advanced mathematics lecture delivered by Tom Bridgeland from the University of Sheffield. Delve into the complex world of 3-Calabi-Yau triangulated categories and their space of stability conditions. Gain insights into the expected hyperkähler structure and examine a moduli-theoretic construction in the context of "categories of class S[A_1]." Discover how this construction relates to the parameterization of algebraic curves equipped with quadratic differentials. Engage with cutting-edge research in algebraic geometry and mathematical physics over the course of this 85-minute presentation, part of the M-Seminar series at Kansas State University.
