Below is a calendar of upcoming talks in the Columbia Student Geometric Analysis Seminar. Titles will typically be posted the weekend before the talk.

**Time and location:** Monday 16:30-18:00 in Math 520.

Date | Speaker | Title | Ref. / Abstract |
---|---|---|---|

17 Sep | Keaton Naff | Hamilton's Maximum Principle | Chow and Lu (2004) |

24 Sep | Beomjun Choi | Convex Inverse Mean Curvature Flow with Singularities and its Smoothing Time | Using local speed estimate of the inverse mean curvature flow recently shown by B. Choi and P. Daskalopoulos, we investigate the singularity evolution of IMCF under convexity assumption. The exact smoothing time will be obtained as a corollary. This is joint work with Pei-Ken Hung. |

1 Oct | Freid Tong | Gromov Hausdorff Limits of Algebraic Manifolds | Donaldson-Sun (2014) |

8 Oct | Freid Tong | Gromov Hausdorff Limits of Algebraic Manifolds (2) | Donaldson-Sun (2014) |

15 Oct | Semon Rezchikov | Gluing theory for CY metrics on K3s | Donaldson (2010) |

22 Oct | Aaron Chow | Self-Expanders to Inverse Curvature Flow by Homogeneous Functions | We study self-expanding solutions to a large class of parabolic inverse curvature flows by homogeneous symmetric functions of principal curvatures in Euclidean spaces. These flows include the inverse mean curvature flow and many nonlinear flows in the literature. We show that the only compact self-expanders to any of these flows are round spheres. |

29 Oct | Jingze Zhu | Nash-Moser Harnack Inequality for Parabolic Equations | |

5 Nov | No Meeting | Election Day | |

12 Nov | Beomjun Choi | Evolution of Non-Compact Hypersurface By Inverse Mean Curvature | In this talk, we give an existence theorem of the inverse mean curvature flow for an arbitrary convex non-compact hypersurfaces in Euclidean space. The key ingredient of the proof is an a priori estimate of the weighted speed $(H|F|)^{-1}$ which does not depend on its initial bound. The maximal time of existence is explicitly given by the area of initial cone and the solution becomes flat as time approaches to it. This is a joint work with P. Daskalopoulos. |

19 Nov | Keaton Naff | Bounded Ricci Tensor in Ricci Flow | Sesum (2005) |

26 Nov | No Meeting | Thanksgiving | |

3 Dec | Kevin Smith | C^0 Estimate for Hermitian Manifolds | Tosatti & Weinkove (2009) |

10 Dec | TBD | TBD | TBD |