Department of Mathematics
Title : Ternary quadratic forms and Kaplansky's conjecture
| Speaker: Tan Do Affiliation: University of Auckland Time: 14:00 Tuesday, 15 May, 2012 Location: 303-412 |
Abstract
| The theory of quadratic forms is among the oldest and most highly developed studies of mathematics, with various applications in number theory, linear algebra, analytic geometry and algebraic topology, etc. Here we are interested in its number-theoretical aspect, in particular, quadratic forms of three variables over the rational integers or integral ternary quadratic forms. Schiemann (1993) proved that if two positive definite ternary quadratic forms represent the same numbers with the same multiplicities, then they are the same. In this presentation, we consider what happens if we drop the condition "with the same multiplicities". Kaplansky (1997) gave a conjecture about this. We will investigate Kaplansky's conjecture and prove it in a special case. |
-
Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
