## On a Quantitative Sharpening of a Theorem of Birch

- Aug. 9, 2011
- 3:30 p.m.
- LeConte 312

## Abstract

In this talk, we will describe a generalization of the Aron-Hajek Theorem about the null subspaces of homogeneous odd polynomials (in several variables) to the case of arbitrary odd polynomials. These results are further generalized to the case of common null subspaces for several odd polynomials (as in Birche's theorem) and also to the complex case.