Tropical geometry has been proved successful to study various types of enumerative
numbers, including Gromov-Witten invariants for toric surfaces and Hurwitz numbers
with at most two special points. In my talk I will try to give an overview on
some showcase results, recent developments (counting "real'' curves) and relations
to other approaches.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/YRSM2017