一、题目：The tangential k-Cauchy-Fueter complexes and Hartogs’ phenomenon over the right quaternionic Heisenberg group
二、主讲人：浙江大学王伟教授
三、时间：2019年10月30日 15:30
四、地点：A4-305
摘要：We construct the tangential k-Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of \bar∂_b-complex on the Heisenberg group in the theory of several complex variables. We can use the L2-estimate to solve the nonhomogeneous tangential k-Cauchy-Fueter equation under the compatibility condition over this group modulo a lattice. This solution has an important vanishing property when the group is higher dimensional. It allows us to prove the Hartogs’ extension phenomenon for k-CF functions, which are the quaternionic counterpart of CR functions. This is a joint work with Yun Shi.
报告人简介：王伟，浙江大学教授，博士生导师。主要研究方向；多复变函数论。王伟教授已主持了国家自然科学基金面上项目7项，在Trans. Amer. Math. Soc., J. Eur. Math. Soc. (JEMS),Bull. Sci. Math., J. Math. Pures Appl., J. Math. Phys.等国内外重要期刊上发表论文50余篇。王伟教授曾在第五届华人数学家大会上做45分钟邀请报告。
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