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Number theory: Yoav Len (Tuebingen) "TROPICAL INDEPENDENCE AND GAUSS–WAHL MAPS" | Einstein Institute of Mathematics

Number theory: Yoav Len (Tuebingen) "TROPICAL INDEPENDENCE AND GAUSS–WAHL MAPS"

Date: 
Thu, 19/05/201612:00-13:15
Location: 
Ross Building, room 63, Jerusalem, Israel
I will discuss applications of tropical geometry for studying general line bundles on general curves. As observed by Wahl, a curve may be embedded in a K3 surface only when a certain map, now known as the Wahl map, is not surjective.
The more general Gauss–Wahl map provides an intrinsic criterion for
embeddability in other surfaces. I will explain how these maps can be studied by appealing to Berkovich skeletons, and discuss ongoing work towards proving surjectivity in high genus.
This is joint work with Dave Jensen.