Donaldson-Thomas theory for Calabi-Yau 4-folds

This is a seminar on a recent preprint of Oh-Thomas on the construction of virtual structures on moduli spaces of coherent sheaves on Calabi-Yau 4-folds. This gives algebraic foundations to the recent developement of Donaldson-Thomas theory of Calabi-Yau 4-folds.

References

• J. Oh, R. Thomas, Counting sheaves on Calabi-Yau 4-folds, I, arXiv, 2021.

Schedule

• Special Orthogonal Bundles and Edidin-Graham classes, Reinier Schmiermann, 24 Sep 2021, 10.00-12.00.

• Cosection localization for isotropic sections, Sergej Monavari, 5 Oct 2021, 16.00-18.00, notes.

• Self-dual obstruction theories, Lawrence Barrott, 7 Oct 2021, 14.00-16.00.

• Virtual fundamental class for moduli spaces of sheaves on Calabi-Yau 4-folds, Dirk van Bree, 14 Oct 2021, 14.00-16.00.

• BREAK

• Virtual localization for Calabi-Yau 4-folds, Sergej Monavari, 17 Feb 2022, 10.00-12.00.

• K-theoretic virtual classes on Calabi-Yau 4-folds, Dirk van Bree, 23 Feb 2022, 14.00-16.00.

• Virtual isotropic Riemann-Roch.