Brandeis-Harvard-MIT-Northeastern

JOINT MATHEMATICS COLLOQUIUM


Diophantine Approximation and parametric Geometry of Numbers

Wolfgang Schmidt

University of Colorado at Boulder

Brandeis University

Thursday, March 10, 2011

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall


Abstract: Dirichlet's Theorem gives bounds for simultaneous rational approximations to an n-tuple of real numbers when the denominator is below a given parameter Q. How do best approximations vary as a function of Q ? More generally, we are interested in how quantities of Minkowski's Geometry of Numbers vary as a function of q>0 when a convex body is subjected to the q-th power of a given linear map T.


Home Web page: Alexandru I. Suciu Posted: January 27, 2011
Comments to: a.suciu@neu.edu URL: http://www.math.neu.edu/bhmn/schmidt11.html