Back to Algebraic Geometry Seminar: Spring 2018
Algebraic Geometry Seminar
Date: Tuesday, Apr 10, 2018
Time: 3:30PM - 4:30PM
Location: LCB 222
Roberto Svaldi
University of Cambridge
Title |
On the boundedness of Calabi-Yau varieties in low dimension |
Abstract |
I will discuss new results towards the birational boundedness of low-dimensional elliptic Calabi-Yau varieties, joint work with Gabriele Di Certo. Recent work in the minimal model program suggests that pairs with trivial log canonical class should satisfy some boundedness properties. I will show that 4-dimensional Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded. This implies birational boundedness of elliptically fibered Calabi-Yau manifolds with a section, in dimension up to 5. If time allows, I will also try to discuss a first approach towards boundedness of rationally connected CY varieties in low dimension (joint with G. Di Cerbo, W. Chen, J. Han and, C. Jiang). |
Algebraic Geometry