Oberwolfach Reports


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Volume 12, Issue 2, 2015, pp. 1255–1316
DOI: 10.4171/OWR/2015/23

Published online: 2016-02-15

Tropical Aspects in Geometry, Topology and Physics

Tobias Ekholm[1], Hannah Markwig[2], Grigory Mikhalkin[3] and Eugenii Shustin[4]

(1) Uppsala Universitet, Sweden
(2) Universität des Saarlandes, Saarbrücken, Germany
(3) Université de Genève, Switzerland
(4) Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv, Israel

The workshop Tropical Aspects in Geometry, Topology and Physics was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject. The development of tropical geometry is based on deep links between problems in real and complex enumerative geometry, symplectic geometry, quantum fields theory, mirror symmetry, dynamical systems and other research areas. On the other hand, new interesting phenomena discovered in the framework of tropical geometry (like refined tropical enumerative invariants) pose the problem of a conceptual understanding of these phenomena in the “classical” geometry and mathematical physics.

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Ekholm Tobias, Markwig Hannah, Mikhalkin Grigory, Shustin Eugenii: Tropical Aspects in Geometry, Topology and Physics. Oberwolfach Rep. 12 (2015), 1255-1316. doi: 10.4171/OWR/2015/23