报告题目： Frobenius manifolds and root systems

报告人： 沈大立 （清华大学）

时间：4月23日（星期二）下午2:50-3:50

地点：第五教学楼5205教室

摘要： Frobenius manifolds are devised to give a coordinate-free way to describe equations of associativity (or WDVV equations) arising from 2D topological field theory. One such manifold can be viewed as a space parametrizing a family of Frobenius algebras, endowed with some additional conditions. In this talk I will construct Frobenius structures on the $\mathbb{C}^{\times}$-bundle of the complement of a toric arrangement associated with a root system, by making use of a family of torsion free and flat connections on it. This gives rise to a trigonometric version of Frobenius algebras in terms of root systems.

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