Title: Fibrations in rational surfaces and their sections
Speaker: Brendan Hassett
Speaker Info: Rice University
Brief Description:
Special Note:

A central problem of Diophantine geometry is to formulate effective criteria for the existence of solutions to polynomial equations over various fields. While this is intractible in general, the case of rational surfaces over global fields has precise conjectures supported by many specific examples. We focus on the geometric case of function fields of curves, where solutions may be interpreted as sections of a fibration. Here we classify the fibrations in geometric terms and employ this to deduce concrete (and sometimes surprising) implications of the Diophantine conjectures.
Date: Wednesday, January 7, 2015
Time: 4:10pm
Where: Lunt 105
Contact Person: Antonio Auffinger
Contact email: auffing@math.northwestern.edu
Contact Phone: 847-491-5466
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