Snapshot of the pre-open problem session

Relevant aspects:

Amoebas

• maximally sparse polynomials
• amoebas for fewnomials
• spine
• for general varieties (non-hypersurfaces): what are spine, solid, maximally sparse?
• topological structure of amoebas; convexity
• for specific classes of varieties?
• discriminants and amoebas

Tropical geometry

• tropical linear algebra
• line bundles and vector bundles
• variations of tropical varieties

Amoebas vs. tropical geometry

• What is gained or lost in the transition?

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