__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

Proudly Serving Math Community at the Claremont Colleges Since 2007

Copyright © 2011 Claremont Center for the Mathematical Sciences

10/02/2012 - 12:15pm

10/02/2012 - 1:10pm

Speaker:

Lenny Fukshansky (CMC)

Abstract:

A classical problem in Diophantine approximation asks for an estimate on the number of points of a given lattice L inside of a fixed compact set S in R^n. While in general very difficult, this problem becomes more tractable under additional assumptions on S. We will briefly review some of the known results in this direction, and will then discuss how such estimates can be used to count the number of points of bounded height over number fields. We will conclude with some related estimates over positive definite quaternion algebras.

Where:

Millikan 208 (Pomona College)