Wall-Crossing for Calabi-Yau Fourfolds and Applications

Explore wall-crossing phenomena in Calabi-Yau fourfolds through this comprehensive lecture delivered by Arkadij Bojko from ETH Zurich at the M-Seminar, Kansas State University. Delve into the extension of sheaf-counting invariants to higher dimensions and understand the framework behind Joyce's proposed wall-crossing formulae. Examine the proof of existing conjectures relating different stable pairs counting points, curves, and surfaces in Calabi-Yau fourfolds. Gain insights into Hilbert schemes of points and their computations. This in-depth talk provides a thorough exploration of recent developments in algebraic geometry and their applications to four-dimensional Calabi-Yau manifolds.