Half a Billion Calabi-Yau threefolds
Please note this event occurred in the past.
November 07, 2024 2:30 pm - 3:30 pm ET
LGRT 1681
In this talk, I present a toric method of constructing Calabi-Yau manifolds. The method is to look at the projective variety X coming from a so-called reflexive polytope, which satisfies a duality condition under taking the polar. Then, one can show that X is Gorenstein and Fano, and a general element of |-KX| will be a Calabi-Yau with canonical singularities. This is based on the work of Batyrev, who showed that the duality of reflexive polytope yields mirror pairs of Calabi-Yaus.