Counting in Calabi-Yau Categories
Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Course Description
Overview
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).
Syllabus
Fabian Haiden - Counting in Calabi-Yau Categories
Taught by
Institut des Hautes Etudes Scientifiques (IHES)
Related Courses
Computational Commutative AlgebraChennai Mathematical Institute via Swayam Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam Applications of Topological Cyclic Homology in Algebraic K-Theory
Fields Institute via YouTube Representations of Acyclic Quivers and Auslander-Reiten Sequences - Lecture 1
International Centre for Theoretical Sciences via YouTube A Homological Interpretation of Higher Du Bois and Higher Rational Singularities
IMSA via YouTube