Home /  Tropical Seminar: "Constructing Calabi-Yau mirrors via tropical geometry"

Seminar

Tropical Seminar: "Constructing Calabi-Yau mirrors via tropical geometry" October 30, 2009
Parent Program: --
Location: SLMath: Eisenbud Auditorium
Speaker(s) Janko Boehm
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

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.

No Notes/Supplements Uploaded No Video Files Uploaded