清华主页 EN
导航菜单

Introduction to convergence and collapsing theory of Riemannian manifolds

来源: 10-09

时间:2023-10-09 ~ 2023-12-25 Mon 13:30-16:55

地点:Venue: A3-3-103 Zoom: 518 868 7656 (PW: BIMSA)

主讲人:Lecturer Pengyu Le (乐鹏宇, Assistant Professor)

Introduction

This course is an introduction to the convergence and collapsing theory of Riemannian manifolds, which is an important tool in Riemannian geometry. We shall introduce the Gromov-Hausdorff distance and study the convergence theory of Riemannian manifolds with respect to this distance. We will discuss the collapsing theory of Riemannian manifolds with bounded sectional curvatures.


Lecturer Intro

Dr. Pengyu Le graduated from ETH Zürich in 2018, then became a Van Loo postdoctoral fellow in University of Michigan. He joined BIMSA as an assistant research fellow in 2021. His research interest lies in differential geometry and general relativity.

返回顶部
相关文章
  • A brief introduction to convergence acceleration algorithms

    AbstractIn this talk, I will give a brief introduction to convergence acceleration algorithms. First, I will provide a concise overview of the research context and the current state of convergence acceleration algorithms. Subsequently, I will present a method known as the kernel methodology for constructing convergence acceleration algorithms, based on which I propose a novel acceleration algor...

  • [Seminar on Control theory and Nonlinear Filtering] Convergence Analysis of the Gaussian mixture particle filters

    Abstract:In this talk, I will discuss in detail the convergence result of the Gaussian mixture particle filters, in which each particle in the estimation system is regarded as a Gaussian distributed random variable, rather than a simple particle as in the classical particle filters. The convergence rate of the particle system will be given. The relationship between the Gaussian mixture particl...