NOTE: Course information changes frequently. Please re-visit these pages periodically for the most recent and up-to-date information. | |

Spring 2020 Mathematics GR8255 section 001 PDE IN GEOMETRY | |

Call Number | 35047 |

Day & Time Location |
MW 1:10pm-2:25pm 507 Mathematics Building |

Points | 4.5 |

Grading Mode | Standard |

Approvals Required | None |

Instructor | Mu-Tao Wang - e-mail, homepage |

Type | LECTURE |

Method of Instruction | Classroom |

Course Description | Parabolic flows have become a central tool in differential geometry in recent years. One of the main problems is to understand the formation of singularities. In this course, I will give an introduction to the subject, starting with the simplest example of the curve shortening flow in the plane. We will then discuss the main a-priori estimates for mean curvature flow in higher dimensions, such as the convexity estimate, the cylindrical estimate, and the pointwise gradient estimate. Finally, we plan to present recent results concerning singularity formation for fully nonlinear curvature flows. |

Web Site | Vergil |

Department | Mathematics |

Enrollment | 3 students (20 max) as of 5:35PM Wednesday, February 26, 2020 |

Subject | Mathematics |

Number | GR8255 |

Section | 001 |

Division | Graduate School of Arts and Sciences |

Open To | GSAS |

Campus | Morningside |

Section key | 20201MATH8255G001 |

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