Programme
10h30 Accueil, café. (salle 1516-417)
11:00 Singular tropical hypersurfaces
Luis Felipe Tabera Alonso (Universidad de Cantabria)
Let us define a tropical singular point as the image, under the valuation, of
a singular point over the field of Puiseux series.
We will present a pure tropical notion of singularity for a tropical
hypersurface in arbitrary dimension. We will
characterize the singular points of a hypersurface in terms of tropical Euler
derivatives and show an algorithm to compute all singularities in a
hypersurface.
As a related object, we will describe some non-transversal intersection of
planar tropical curves (tangent intersection points). Joint work with Alicia
dickenstein (U. Buenos Aires)
14:00 The phase limit set of a coamoeba
Frank Sottile (Texas A&M University)
A complex coamoeba is the image of a subvariety of a complex
torus under the argument map to the real torus. Similarly,
a non-archimedean coamoeba is the image of a subvariety of a
torus over a complex Puiseaux field under its argument map.
We describe the structure of non-archimedean coamoebae in
terms of complex coamoebae and use the logarithmic limit set
to describe the boundary of complex coamoebae. Detailed
examples of lines in three-dimensional space illustrate
and motivate these results. This is joint work with
Mounir Nisse.
Plus de détails (page de Frank Sottile)
15h00 Pause café. (salle 1516-417)
15:30 Second cobounded cohomology and Hamiltonian group of surfaces
Rostislav Matveev (Universität Leipzig)
Organisateurs : Benoît Bertrand, Erwan Brugallé, Ilia Itenberg, Grigory Mikhalkin
Paris, 31 mars 2011
Institut de mathématiques de Jussieu, Jussieu, salle 1525-1-04