Speaker
Albrecht Klemm
Description
2d conformal graphs can be drawn on the regular tilings of the plane.
The corresponding amplitudes are solutions of the Yangian integrable
symmetry operators convoluted with the symmetry group of the graph.
To each graph we can associate a Calabi Yau variety defined by double
or triple cover constructions. The latter case corresponds to the
trivalent lattice and in this case the Calabi-Yau geometry is related
to Picard varieties. The integrable structure implies flatness of the Gauss
Manin connection of the geometry and amplitudes can be efficiently
evaluated as the quantum volume of the associated geometries.
