Tuesday October 22nd, 2024 | |
| Time: | 4:00 PM - 5:15 PM |
| Title: | On Warped QAC Calabi-Yau Manifolds |
| Speaker: | Dashen Yan, Stony Brook University |
| Location: | P-131 |
| Abstract: | |
| Warped quasi-asymptotically conical (QAC) Calabi-Yau manifolds are examples of complete non-compact Calabi-Yau manifolds with maximal volume growth. These manifolds roughly admit holomorphic fibrations over the complex line, with asymptotically conical Calabi-Yau manifolds as generic fibers; they are modeled on a warped product of a flat metric on the base-space with an asymptotically conical metric on the fibers. In this talk, I will explain my work on a gluing construction for families of warped QAC Calabi-Yau metrics that converge to the product of the complex line and a Calabi-Yau cone, thereby confirming a conjecture of Yang Li. If time permits, I will also discuss bubbling phenomena for suitable sequences of collapsing metrics. | |