A Three-Day School and Research Workshop
Simons Center for Geometry and Physics (SCGP)
October 7–9, 2026
Schedule
Day 1: Wednesday, October 7, 2026
Speaker: Pedro Antonio Muniz Martins (Unicamp)
10:00 – 12:00 Lecture I: Introduction to Gromov–Witten Invariants and Localization
This lecture introduces Gromov–Witten invariants and the localization theorem in equivariant cohomology. The discussion specializes to flag varieties, detailing the computational aspects. It concludes with a software demonstration designed to compute Gromov–Witten invariants for complete intersections within flag varieties.
14:00 – 16:00 Lecture II: Frobenius Manifolds, Euler Vector Fields, and Materialization
This lecture covers the theory of Frobenius manifolds. Emphasis is placed on the geometric structures induced by Euler vector fields and the analytic process of materialization.
Day 2: Thursday, October 8, 2026
Speaker: Leonardo F. Cavenaghi (ICMS-Sofia)
10:00 – 12:00 Lecture I: Berkovich Geometry and the A-Model F-Bundle
We recall the fundamentals of Berkovich analytic spaces and apply this framework to establish the convergence of Gromov–Witten potentials. The lecture then proceeds to the construction and properties of F-bundles, with a specific focus on the A-model F-bundle.
14:00 – 16:00 Lecture II: Decomposition Theorems for F-Bundles and Hodge Atoms
The second lecture focuses on decomposition theorems for F-bundles. Following this structural analysis, we introduce the formal definition of Hodge atoms and discuss their
initial applications in the field.
Day 3: Friday, October 9, 2026
Research Talks
A series of research presentations focusing on recent advancements in the theory of atoms, mirror symmetry, and related geometries. The precise schedule of talks will be finalized
closer to the event date.
Speakers:
• Leonardo F. Cavenaghi (ICMS-Sofia)
• Ludmil Katzarkov (University of Miami / ICMS-Sofia / SCGP)
• Maxim Kontsevich (IHES)
• Additional speakers to be announced