Counting in Calabi-Yau Categories

Explore a mathematical lecture on counting in Calabi-Yau categories, focusing on a replacement for homotopy cardinality in situations where it is ill-defined. Delve into key concepts such as Calabi-Yau structures and their relative generalizations. Discover applications including the development of a Hall algebra for many pre-triangulated dg-categories and the proof of a conjecture related to the ruling polynomial of Z/2m-graded Legendrian knots. Learn about joint work with Mikhail Gorsky presented by Fabian Haiden from Syddansk Odense University in this one-hour talk at the Institut des Hautes Etudes Scientifiques (IHES).