Geodesic rays in space of Kahler metrics with T-symmetry




时   间:2024年4月8日 14:30-15:25    

地   点:数学楼401报告厅

主讲人:王丹 博士后(香港中文大学)

主持人:杜荣 教授

讲座内容简介:

Geometric quantization on symplectic manifolds plays an important role in representation theory and mathematical physics, deeply relating to symplectic geometry and differential geometry. A crucial problem is to understand the relationship among geometric quantizations associated with different polarizations. In this talk, we will discuss the construction of mixed polarization by T-symmetry on Kähler manifolds and the existence of geodesic rays in the space of Kähler metrics with T-symmetry, such that the corresponding one-parameter family of Kähler polarizations converges to mixed polarization. This is a joint work with Conan Leung.

主讲人简介:

王丹,香港中文大学博士后,2023年在香港中文大学获得博士学位,主要从事Symplectic Geometry, Algebraic Geometry 和 Differential Geometry的研究。