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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