Overview
Explore advanced concepts in algebraic geometry through this ICTP/IGAP seminar focusing on refined invariants and Vafa-Witten invariants. Delve into the application of perfect obstruction theories and virtual invariants to define virtual Euler numbers of moduli spaces of sheaves and their refinement by the virtual chi_y-genus. Examine the moduli space of Higgs pairs and its role in defining Vafa-Witten invariants. Review localization and virtual localization with respect to C*-actions. Cover topics such as modular spaces, virtual dimensions, subsheats, model spaces, and tangent solutions. Gain insights from speaker Lothar GOETTSCHE of ICTP in this comprehensive 1-hour 7-minute lecture, building upon previous discussions on moduli spaces of sheaves on surfaces.
Syllabus
Introduction
Modular space
Virtual dimension
Modular spaces
Subsheets
Model space
Performance
Tangent
Solution
Taught by
ICTP Mathematics