Tropical Seminar: "Constructing Calabi-Yau mirrors via tropical geometry"
Fri, October 30, 2009 1:00PM - 2:00PM
| Time: | 1:00PM - 2:00PM |
| Location: | Simons Auditorium |
| Speakers: | Janko Boehm, Janko Boehm |
| Abstract: | Mirror symmetry has developed into an important link between physics and mathematics and predicts that Calabi-Yau varieties come as pairs of mirrors.
In this talk I will describe an explicit mirror construction for monomial degenerations of Calabi-Yau varieties.
Using tropical geometry and Groebner basis techniques the construction is formulated in a Cox homogeneous toric setup and generalizes those for hypersurfaces and complete intersections by Batyrev and Borisov. I will also comment on the relations of the tropical construction to deformation theory. |
