A perspective projection of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3.

Title: Tropicalising Normal Crossings Pairs: Moduli Spaces of Curves and Stable Maps

Speaker: Cat Rust

Abstract: We will begin by covering how to tropicalise normal crossings pairs (X,D) to get combinatorial objects known as cone complexes (or cone stacks). We will cover some geometric operations that can be performed using these objects and then will spend some time looking at Mg,ntrop. Finally, time permitting, we will see how this framework is used to study moduli spaces of stable maps.

 

 

Some snacks will be provided before and after the talk.

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