Workshop on Real, Tropical, and Complex Geometry

Princeton University, Princeton NJ

Investigators

Abstract

Ideas from Gromov-Witten theory in the 90's have led to new perspectives on classical questions of complex enumerative geometry. Many old problems have been elegantly solved. An example is the basic question of counting rational curves in the plane passing through given points. Beginning about 10 year later, in the present decade, a renewal of interest in enumerative questions in real algebraic geometry has occurred with impetus from Gromov-Witten theory and tropical methods. The workshop on "Real, topical, and complex enumerative geometry" will, for the first time, bring mathematicians in these various fields together for a common discussion of results, ideas, and future directions. Several lecture courses addressed to broad audiences will take place during the first week. C. Faber, A. Gathmann, R. Vakil and J.-Y. Welschinger have agreed to give lecture series. Graduate students interested in the field will greatly benefits from these courses. The second week will have several 1 hour research talks on more advanced topics. The main purpose of the grant is to allow junior US mathematicians the opportunity of participating in the workshop.