吴文俊数学重点实验室吴文俊讲座报告【张友金 教授】

报告人：张友金 教授 
       清华大学数学科学系

报告题目：On the Genus Two Free Energies for Semisimple Frobenius Manifolds

报告时间：9月15日 下午 4:00--5:00

报告地点：管理科研楼1518教室

Abstract:
For a semisimple Frobenius manifold the genus $g (g>0) $  free energies are defined via solutions of
the associated loop equation, they correspond to the free energies in 2D topological field theory. In
this talk, we show how to  represent the genus two free energy of an arbitrary semisimple Frobenius
manifold as a sum of contributions associated with dual graphs of certain stable algebraic curves
of genus two plus the so-called "genus two G-function". We conjecture that the genus two G-function
vanishes for a series of important examples of Frobenius manifolds associated with simple
singularities as well as for $P^1$-orbifolds with positive Euler characteristics. We explain the
reasons for the validity of such a conjecture.

主办单位: 0029cc金沙贵宾会

          中科院吴文俊数学重点实验室

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