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 2015, and the second in a series of conferences on nonarchimedean and tropical geometry. The

first meeting in this series took place in 2013.

## Notes From Talks

- A. J. de Jong (Columbia), A remark on a paper of Thuillier.
- D. Cartwright (Tennessee),
*On homotopy types of analytifications*.
- Y. Tschinkel (NYU),
*Igusa integrals*.
- J. Huh (Princeton and IAS),
*A tropical approach to a Hodge conjecture for positive currents.*
- M. Mustata (Michigan),
*Weight functions and skeleta.*
- C. Xu (BICMR),
*Skeleton and dual complex.*
- J. Nicaise (Leuven),
*Poles of maximal order of Igusa zeta functions*.
- M. Temkin (Hebrew University),
*Metrization of differential pluriforms on Berkovich spaces*.
- M. Jonsson (Michigan),
*Solution to a non-Archimedean Monge-Ampere equation I*.
- S. Boucksom (École Polytechnique),
*Solution to a non-Archimedean Monge-Ampere equation II*.
- W. Gubler (Regensburg),
*A tropical approach to non-archimedean Arakelov theory*.
- S. Payne (Yale),
*Tropical Brill–Noether theory and its applications I*.
- D. Jensen (Kentucky),
*Tropical Brill–Noether theory and its applications II*.
- V. Berkovich (Weizmann Institute),
*Complex analytic vanishing cycles for formal schemes*.
- A. Ducros (Paris 6),
*Piecewise monomial skeleta*.
- K. Kedlaya (UC San Diego),
*Convergence polygons for connections on nonarchimedean curves*.
- A. Werner (Frankfurt),
*Skeletons and tropicalizations*.
- D. Abramovich (Brown),
*Artin fans*.

- Notes from open problem sessions