University of Michigan
Tropical Geometry Seminar
Fall 2005
Thursdays 5:10-7:00, 3866 East Hall

Tropical Geometry is a technique for reducing algebro-geometric problems to problems of piecewise-linear geometry. These polyhedral problems, in turn, often lead to challenging combinatorics. One prominent example is Mikhalkin's work on Gromov-Witten invariants of toric varieties. The goal of this seminar is to learn the foundations of the theory of tropical varieties, concentrating on such examples as (tropical) linear spaces, Grassmannians, and plane curves.

date speaker affiliation title
September 15 David Speyer U. Michigan Introduction to tropical geometry I
September 22 David Speyer U. Michigan Introduction to tropical geometry II
September 29 Nathan Reading U. Michigan Tropical linear spaces with constant coefficients
October 6 David Anderson U. Michigan Tropical linear spaces and tropical Grassmannians
October 20 Renzo Cavalieri U. Michigan Gromov-Witten invariants
October 24 Andrei Okounkov Princeton Tropical geometry of variational problems
October 27 Mike Develin AIM Tropical rank
October 28
(Combin.)
Mike Develin AIM Tropical polytopes and their implications
November 3 Charles Cadman U. Michigan Mikhalkin's correspondence theorem
November 10 Paul Hacking Yale Homology of tropical varieties
November 17 Alan Stapledon U. Michigan Counting tropical curves
November 30
(Alg.Geom.)
Eugenii Shustin Tel Aviv Enumeration of real rational curves and tropical geometry
December 1 Eugenii Shustin Tel Aviv A tropical approach to enumerative geometry
December 8 Samuel Payne U. Michigan Polyhedral complexes for tropical geometry

References

The seminar is organized by Sergey Fomin and David Speyer.
They maintain this webpage and administer the seminar's mailing list.