Mathematical Sciences: Workshop on Geometry, Topology and Markets

小行星9408798 最近的发展加深了拓扑学和市场经济学之间的联系。 该研讨会将允许介绍和讨论原始的数学结果，这些结果已经或可能导致在市场经济学中的有用应用。 讲习班的前三天将专门用于一系列旨在提供基本背景的数学微型课程。 剩下的时间将允许介绍新的定理，沿着他们的应用理论的市场。 讨论的主题将包括：新的拓扑不变量的存在，表征和计算市场均衡及其关系的社会选择和其他形式的资源分配，竞争和合作系统，代数几何和市场与收益递增，计算复杂性，随机过程和金融市场。

9408798 Chichilnisky Recent developments have deepened the connection between topology and the economics of markets. This workshop will allow the presentation and discussion of original mathematical results, which have or could lead to useful applications in the economics of markets. The first three days of the workshop will be devoted to a series of mini-courses in mathematics aimed at providing the basic background. The remaining time will allow the presentation of new theorems, along with their applications to the theory of markets. Topics discussed will include: new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and cooperative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial markets.