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Explore advanced mathematical concepts in this lecture on perverse sheaves and schobers on Riemann surfaces. Delve into joint research by Dyckerhoff, Kapranov, Schechtman, and Soibelman, examining the derived constructible category of stratified Riemann surfaces through representations of the paracyclic category. Gain insights into geometric depictions of various t-structures, including the perverse one, and their interaction with Verdier duality. Discover how this approach leads to categorified perverse sheaves (perverse schobers) and learn about their practical applications in mathematics.
