Search bounds with respect to height in linear and quadratic spaces

11/29/2011 - 12:15pm
11/29/2011 - 1:10pm
Glenn Henshaw (Wesleyan University)

Siegel's lemma and Cassels' theorem, classical tools in Diophantine approximation, concern the existence of points of bounded height in linear spaces and quadratic spaces respectively. I will discuss generalizations of these results over global fields, with additional algebraic conditions placed on the points, and to linear subspaces of bounded height of quadratic spaces. This is joint work with my Ph.D. advisors W. K. Chan and L. Fukshansky.

Millikan 134 (Pomona College)