Tran Trung Nghiem: An effective construction of complete Calabi–Yau metrics with irregular asymptotic cone at infinity

Speaker
Tran Trung Nghiem, Université Lyon 1

Abstract
Using Altmann’s deformation theory of toric varieties, I will show that there are infinitely many new examples of complete Calabi–Yau metrics with irregular asymptotic cones, answering a question of Conlon–Hein. I will also explain a combinatorial method to construct smoothable toric Calabi–Yau cones from a well-known family of rigid cones, yielding new Calabi–Yau metrics on the smoothing. This is based on a joint work with R. Conlon.