Calabi-Yau Power Tools: a demo

Nate MacFadden (Cornell U, Ithaca)

Jun 17. 2026, 15:30 — 16:30

CYTools is a high-performance computational geometry toolbox for studying Calabi-Yau threefolds arising as hypersurfaces in toric varieties. We first demo its geometry primitives: polytopes and cones. We then show a complete research pipeline, going from nothing -> polytope -> triangulation -> toric variety -> Calabi-Yau threefold. This includea a demo computation of certain properties of the toric variety and CY, such as intersection numbers and their K\"ahler cones. The perspective taken will be as a sandbox of geometries as well as the tools needed to study them.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
The Unreasonable Effectiveness of Toric Geometry: Bridging Mathematics, Computation, and String Theory (Thematic Programme)
Organizer(s):
Magdalena Larfors (Uppsala U)
Gary Shiu (U of Wisconsin-Madison)
Harald Skarke (TU Wien)
Michael E. Stillman (Cornell U, Ithaca)