Sicheng Xing and Weilun Wang
Our research orientated from the classical problem to classify surfaces. We use a classical classification theorem to solve a weaker version of this problem. Namely, classify 2-dimension manifolds into two categories: Orientable Surface and Non-orientable surfaces.
Jingpeng Shen
My report will be about the research outcome of the DURF project in summer 2021. It will be an overview of the Schubert Calculus, a branch of enumerative Algebraic Geometry. The original purpose of Schubert Calculus is to solve the problems of projective geometry, a special kind of enumerative geometry. For example, one motivating problem is to count the intersection points of projective lines. It consists of three parts: the Schur Polynomial, which is our algebraic foundation; the classical Schubert Calculus; and the equivariant Schubert Calculus.
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