Room P3.10, Mathematics Building Instituto Superior Técnico

Yang-Hui He

, City, University of London

Motivated by physics, especially string theory and quantum field theory, we take a promenade in the landscape of Calabi-Yau geometries. This subject of Calabi-Yau varieties has been a fruitful cross-fertilization between mathematics, physics and computer science. We will take a computational algebro-geometric and data science driven perspective and focus on the explicit constructions and the various databases which have emerged over the decades. Finally, we discuss some recent developments in using neural networks and machine-learning to study such geometries.

This mini-course is aimed at beginning Ph.D. students interested in the physics and mathematics of algebraic geometry. No coding background is needed. The lectures will involve some live coding demonstrations however.