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Explore the connections between symplectic geometry and tropical geometry in this 39-minute conference talk from the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar. Delve into the study of symplectic 4-manifolds that admit multiple toric fibrations, examining how these fibrations can be understood as boundary points within the moduli space of almost toric fibrations. Learn about the conjecture that all toric fibrations exist within the same connected component of this moduli space, as proposed by Symington, and discover how results from tropical geometry provide crucial insights for proving this connectivity. Gain understanding of tropical wave-fronts and nodal tangles as mathematical tools that bridge these geometric frameworks, offering new perspectives on the structure and classification of toric fibrations in symplectic manifolds.
Syllabus
Tropical Wave-Fronts & Nodal Tangles - Joel Schmitz
Taught by
Institute for Advanced Study