Algebraic Geometry Seminar

Title: On the number and boundedness of minimal models of general type
Speaker: Stefan Schreieder
Speaker Info: University of Bonn
Brief Description:

We give an overview of the birational classification of higher dimensional complex projective varieties. We then focus on varieties of general type, which is the largest class in this classification. By the groundbreaking work of Birkar, Cascini, Hacon and McKernan, any variety of general type admits a minimal model. In this talk we explain that all minimal models of varieties of general type, bounded volume and given dimension form a bounded family. Similar arguments can be used to prove that the number of minimal models of an n-dimensional smooth complex projective variety can be bounded in terms of its volume, and, if n=3, also in terms of its Betti numbers. The latter solves a conjecture of Cascini and Lazic. This is joint work with Martinelli and Tasin.
Date: Thursday, March 09, 2017
Time: 4:00pm
Where: Lunt 107
Contact Person: Mihnea Popa
Contact email: mpopa@math.northwestern.edu
Contact Phone:
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