Real groups and the Langlands program

该计划旨在解决有关真实的群体，代数对象描述自然界中发生的基本对称性的长期存在的问题。对这些基本对称性的研究是所有数学领域的核心，它们在许多应用中出现。预期的成果包括解决一个50年前的中央统一问题，以及在数学的大统一计划朗兰兹计划中取得重大进展。其好处包括提高澳大利亚的国际研究形象，与世界顶级机构建立大型国际合作网络，以及提高数论和代数几何的能力，这在技术中发挥着越来越重要的作用。

This program aims to address deep longstanding questions about real groups, algebraic objects which describe the basic symmetries occurring in nature. The study of these basic symmetries is central in all areas of mathematics and they come up in many applications. The expected outcomes include solving a central 50 year old problem of unitarity as well as making major progress in the Langlands program, a grand unification scheme of mathematics. The benefits include raising Australia's international research profile, building a large network of international collaboration with top institutions in the world, and increasing capacity in number theory and algebraic geometry, which are playing an ever more important role in technology.