CRM: Centro De Giorgi
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Aspects of Moduli Theory

seminar: Curve counting, derived categories, and the K3 surface

speaker: Rahul Pandharipande (Princeton University)

abstract: I'll talk about the enumerative geometry of curves on Calabi-Yau 3-folds X and the relationship to stable pairs in the derived category of X. The basic example for the lecture will be K3-fibered Calabi-Yau 3-folds. Connections will be made to the work of Kawai-Yoshioka on sheaves on K3 surfaces. I will explain our recent proof (with Klemm, Maulik, and Scheidegger) of the Yau-Zaslow conjecture for rational curve enumeration in all classes for K3 surfaces.


timetable:
Mon 23 Jun, 10:45 - 11:45, Aula Dini
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