|Speaker:||Roberto Svaldi (U of Cambridge )|
|Title:||Towards birational boundedness of elliptic Calabi-Yau varieties|
|Date (JST):||Tue, Oct 31, 2017, 13:15 - 14:45|
|Place:||Seminar Room A|
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.
The talk will start with a gentle introduction to some of the ideas and techniques from the birational classification of algebraic varieties and in particular from the Minimal Model Program.