# Algebraic and topological cycles in tropical and complex geometry

## About the project

This project focuses on the connections between geometry and combinatorics, provided specifically by tropical geometry. Tropical geometry is a relatively new field with powerful applications to other areas of mathematics and beyond. Perhaps most well known are the applications to algebraic, symplectic, enumerative, and discrete geometries. Additionally there are connections to number theory, statistical models, optimisation, thermodynamics, computer science, mathematical physics and mathematical biology.

## Outcomes

## Sub-projects

- topology of real algebraic varieties
- algebraic geometry of discrete structures (matroids and combinatorial designs)

## Vacancies

There will be one phd and one postdoc position available in the group starting fall of 2018. Stayed tuned for more information!

## Events

**Tropical Geometry, Amoebas, and Polytopes **

Institut Mittag-Leffler, Sweden Jan 15th - April 30

**ASGARD Math 2018: Real algebraic geometry and tropical mathematics**

University of Oslo, Norway May 2 - 4, 2018

**Tropical Methods in Real Algebraic Geometry**

Casa Matemática Oaxaca (CMO), Mexico, Sep 08 - Sep 13, 2019

## Financing

This project is funded by Bergen Research Foundation.