Photos by Antoine Ducros

This symposium was made possible by the generous support of the

Simons Foundation. It was one of four

Simons Symposia in 2017, and the last of in a series of three conferences on nonarchimedean and tropical geometry. The first two meetings in this series took place in

2013 and

2015.

## Notes From Talks

- I. Itenberg (Paris 6),
*Tropical homology and Betti numbers of real algebraic varieties*
- K. Shaw (TU Berlin),
*Superforms and tropical cohomology*
- Y. Liu (Northwestern),
*Tropical Dolbeault cohomology over non-Archimedean fields*
- M. Chan (Brown),
*Topology of the tropical moduli spaces of curves*
- M. Jonsson (Michigan),
*Tropical and non-Archimedean limits of degenerating families of volume forms*
- J. I. Burgos Gil (ICMAT),
*A local approach to the non-Archimedean Monge-AmpĂ¨re equation*
- T. Y. Yu (Paris Sud),
*The Frobenius conjecture in dimension two*
- J. Rabinoff (Georgia Tech),
*Potential theory on curves, p-adic integration, and rational points*
- E. Katz (Ohio State),
*Uniform bounds on torsion points on curves*
- M. Temkin (Hebrew U),
*On wild coverings of Berkovich curves*
- S. Wewers (Ulm), Wildly ramified covers I: Swan conductors and semistable reduction
- A. Obus (Virginia),
*Wildly ramified covers, II: Swan conductors, the Berkovich different, and lifting*.
- J. Poineau (Caen),
*Radii of convergence of p-adic differential equations and ramification*
- S. Payne (Yale),
*Brill-Noether theory for curves of a fixed gonality (after Jensen and Ranganathan)*
- J. Huh (IAS and Princeton),
*Negative correlation and Hodge-Riemann relations*
- J. Nicaise (Imperial College and KU Leuven),
*A motivic Fubini theorem for the tropicalization map*

- Notes from open problem sessions