University of Michigan |
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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.