Research Programs

 

Tropical Geometry, Amoebas and Polytopes

15 January - 30 April 2018

Tropical geometry is a fast growing field at the interface between algebraic geometry and combinatorics with deep connections to many branches of pure mathematics, applied mathematics, and physics.

Algebraic varieties can be logarithmically degenerated to tropical varieties, which are polyhedral complexes satisfying certain combinatorial properties. At any intermediate stage before reaching its final limit, the degeneration process yields a structure known as an amoeba. Both tropical varieties and amoebas are dual to subdivisions of polytopes, and this leads to an infusion of combinatorial methods into algebraic, complex-analytic, and non-Archimedean geometry.

In our programme, we plan to focus on tropical algebra and applications; combinatorics, polytopes, and complexity; moduli spaces of curves and mirror symmetry; and tropical geometry and amoebas in higher dimension.

Scientific Advisory Board: Mark Gross (Cambridge), Ilia Itenberg (Paris), Michael Joswig (Berlin), Grigory Mikhalkin (Geneva), Bernd Sturmfels (Berkeley)

 

Organizers
Jan Draisma
University of Bern
Anders Jensen
Aarhus University
Hannah Markwig
Universität Tübingen
Benjamin Nill
Otto von Guericke Universität Magdeburg

Program
Contact

Hannah Markwig

hannah@math.uni-tuebingen.de

Other
information

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