ICTP-IGAP Seminar on Algebraic Geometry - Representations of the Diagonal for Moduli Spaces of Sheaves
Offered By: ICTP Mathematics via YouTube
Course Description
Overview
Explore a seminar on algebraic geometry focusing on representations of the diagonal for moduli spaces of sheaves. Delve into the cohomology and Chow rings of moduli spaces, examining Lie algebra actions in terms of Chern classes of universal sheaves. Investigate the Lefschetz sl(2) action associated with ample divisor classes on projective varieties, and learn about Grothendieck's standard conjectures for moduli spaces of sheaves over curves and surfaces. Discover the importance of explicit algebraic constructions of Lefschetz operators and their applications to holomorphic symplectic geometry. Cover topics including Mukai's theorem, Child decomposition, defining representations, double push forward, and multiplication by an ample divisor.
Syllabus
Introduction
Mukais theorem
Child decomposition
Recap
Defining the representation
Calculating
Double push forward
Multiplication by an ample divisor
Representation of the diagonal
Taught by
ICTP Mathematics
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