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\textsc{N16}
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\textsc{Colloquium}
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\textit{Arithmetic of del Pezzo surfaces of degree 1}
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Tony Varilly\par
The University of California, Berkeley
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\textbf{Abstract:} I will discuss some of the driving questions in the area of  
Rational points on algebraic varieties (these can be thought of as  
solutions over fields of number-theoretic interest to systems of  
homogeneous polynomial equations).  I will focus on the case of smooth  
rational surfaces, and discuss some results concerning the arithmetic  
of del Pezzo surfaces of degree 1.  I will also explain how these  
results complete a qualitative picture of basic arithmetic phenomena  
among smooth rational surfaces.  Along the way I will go over concepts  
like weak approximation and the computation of Brauer-Manin  
obstructions; I will not assume previous knowledge of them.\vspace{\fill}
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Friday, February 13, 2009, 4:00 pm\par
Mathematics and Science Center: W306
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\textsc{Mathematics and Computer Science}\par
\textsc{Emory University}
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