Course Title: Geometric Foundations for Metaverse

Instructor: Dr. Xianfeng Gu
University: Stony Brook University
Prerequisite：linear algebra, multivariate calculus, programming skills preferred
Textbooks: X.Gu and S.-T. Yau, “Computational Conformal Geometry”, International Press and
High Education Press, 2020

Time: 20:30-22:00pm, Mon, Tues and Wed,
Period: August 1st - August 27th, 2022, 4 weeks
Tencent Meeting ID: 933-8415-7259
Live Streaming: http://online.conformalgeometry.org

Abstract: This course will cover the geometric foundations of metaverse technologies, including the main concepts and theorems in algebraic topology, differential geometry, Riemann surface theory and optimal transportation theory. Then the computational methods for persistent homology, conformal parameterization, mesh generation, surface Ricci flow and the optimal transportation maps will be introduced. Their direct applications in computer graphics, computer vision, geometric modeling and AI will be explained as well.