GPPV Invariants and the Spectrum of Singularities

Explore the intricate relationship between GPPV invariants and the spectrum of singularities in this 51-minute lecture by Josef Svoboda from the University of Miami. Delve into the world of complex surface singularities and their associated 3-manifolds, known as links of singularities. Examine recent developments in the modularity properties of GPPV invariants $\hat(Z)_b$ for these 3-manifolds. Discover a novel connection between these modular forms and the spectrum of corresponding singularities, focusing on Brieskorn homology spheres and links of ADE singularities. Gain insights into this collaborative research conducted with L. Katzarkov and Kyoung-Seog Lee, expanding your understanding of complex geometry and topology.