Algorithmic tropical intersection theory on moduli spaces

• Applicants: Professor Dr. Andreas Gathmann; Professorin Dr. Hannah Markwig
• Subject Area: Mathematics
• Term: from 2010 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 170992108

The new research field of tropical geometry has recently led to considerable progress in algebraic geometry and particularly enumerative geometry. With the help of tropical geometry, many algebraic or geometric questions can be reduced to combinatorial problems concerning graphs or polyhedral complexes. However, the structure of these combinatorial problems is involved, which makes the theoretical as well as practical use of these results complicated. Therefore, we would like to develop resp. implement algorithms for several of these problems which are of particular interest. Thus, we do not only want to gain new results in tropical and hence algebraic geometry, but we also want to simplify the application of tropical geometry.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1489: Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory
• International Connection: United Kingdom
• Participating Person: Professorin Dr. Diane Maclagan