Abstract

A famous theorem of Conway and Schneeberger asserts that any positive definite quadratic form with integer Gram matrix represents all positive integer values if it represents all the integers between 1 and 15. Over a polynomial ring with coefficients in a finite field of characteristic different from 2, a theorem of the same type as Conway and Schneeberger's was proved independently by Chan-Daniels and by Kim-Wang-Xu. In this talk we discuss an analogous result in characteristic 2. This is a joint work in progress with Fei Xu. 

 

Organizer: Ting-Yu Lee (NTU)