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Friday, January 20, 2012

Mathematics Colloquium - Special Lecture 2011-12
4:00 pm   in 245 Altgeld Hall,  Friday, January 20, 2012
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Submitted by kapovich.
Anthony Várilly-Alvarado (Rice University)
Explicit Arithmetic on Algebraic Surfaces
Abstract: The geometric complexity of a variety is a good proxy for its arithmetic complexity. Using the classification of algebraic surfaces as a guide for geometric complexity, we will discuss explicit techniques for computing cohomological obstructions to the existence and distribution of rational points on algebraic surfaces, with a view toward identifying a boundary between arithmetically “well-behaved” varieties, like rational surfaces, and arithmetically “wild” varieties, like surfaces of general type.