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High School Mathematics Contest

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2010 Contest Logo

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We owe the T-shirt design and our 2010 contest logo to Dr. Martin Laubinger, a former graduate student of LSU Math Department.

This figure shows the Serre-tree associated with the p-adic Lie group SL2(Q2). This tree is a geometric object which plays a role analogous to that of the upper half plane in the theory of SL2(R). In particular, the tree is a metric space (with a Z-valued metric), and the group acts transitively by isometries. We sketch how to construct the tree.

 

 

 


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Mark Davidson, phone: (225) 578-1581
contest@math.lsu.edu
www.math.lsu.edu/~contest