Mathematical Sciences: RUI: The Chinburg Conjecture with Even Class Numbers

这笔助学金支持T·施密特教授的研究。他将研究关于数域中解析定义的不变量与有理数的四元数扩张中的S单位的代数结构之间的相互作用的Chinburg猜想。这是数论领域的研究。数论始于整数和诸如一个整数被另一个整数整除的问题。它是最古老的数学领域之一，最初是出于纯粹的美学原因。然而，在过去的半个世纪里，它已经成为开发计算机科学的新算法和电子产品的新纠错码的必要工具。

This RUI grant supports the research of Professor T. Schmidt. He will work on the Chinburg conjecture about the interplay between analytically defined invariants in a number field and the algebraic structure of the S-units in Quaternion extensions of the rationals. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.