The moduli space of Euclidean tori is the modular orbifold (cont'd)

Wednesday, September 30, 2015 - 16:00 to 16:50
Thackeray 427

Abstract or Additional Information

After recapping the correspondence between the upper half-plane and the collection of marked Euclidean structures on the two-dimensional torus, I will describe the correspondence between the natural SL(2,Z)-actions on these spaces.  Then I will use the Farey tessellation, an SL(2,Z)-invariant triangulation of the upper half-plane, to give a concrete description of the modular orbifold.  Finally, I will pull this back to a description of the moduli space of the title.