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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Bo Lin, UT Austin

Inviter:  
Title:
The combinatorics of the tropical Hodge bundles
Time & Venue:
2018.6.25 15:30-17:00 N109
Abstract:
The moduli space $M_g^{trop}$ of tropical curves of genus $g$ is a generalized cone complex that parameterizes metric graphs of genus $g$. For each such graph $\Gamma$, the associated canonical linear system $\vert K_\Gamma\vert$ has the structure of a polyhedral cell complex.
We propose a tropical analogue of the Hodge bundle on $M_g^{trop}$ and study its combinatorial properties. Our construction is illustrated with explicit computations and examples. This is a joint work with Martin Ulirsch.
 

 

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