Thesis DefenseFriday August 16th, 2019 | |

Time: |
11:00 AM |

Title: |
The Charged Penrose Inequality for Manifolds with Cylindrical Ends and Related Inequalities |

Speaker: |
Jaroslaw Jaracz, Stony Brook University |

Location: |
Math Tower 5-127 |

Abstract: | |

We prove the charged Penrose inequality for manifolds with asymptotically cylindrical ends in the time-symmetric setting via a doubling argument. This comes with an appropriate rigidity statement. The techniques we developed are then used to give a quick proof of the positive mass theorem with charge for manifolds with asymptotically cylindrical ends, again in the time-symmetric setting. We conclude with some results related to Bekenstein bounds and the Hoop conjecture via a coupling of the generalized Jang equation to inverse mean curvature flow. |