You are here

Geometry & Topology SeminarExport this event to calendar

Friday, October 12, 2018 — 3:00 PM EDT

**Note time change**​

Henri Roesch, Columbia University

"Horizon Stability and the Null Penrose Inequality"

We introduce a new quasi-local mass with interesting properties along null flows off of a 2-sphere in space-time or, equivalently, foliations of a null cone. We also show how certain convexity assumptions on the null cone allow for a proof of the Penrose Inequality. On a MOTS, we find these convexity assumptions need to be sharp; therefore, we explore existence within a Weakly Isolated Horizon. Building on a lemma of S. Alexakis, this allows us to show that the Penrose Inequality is stable under small perturbations of the Schwarzschild null cone.

MC 5403

S M T W T F S
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
1
2
3
4
5
  1. 2018 (219)
    1. December (2)
    2. November (32)
    3. October (27)
    4. September (26)
    5. August (4)
    6. July (9)
    7. June (13)
    8. May (17)
    9. April (13)
    10. March (28)
    11. February (27)
    12. January (21)
  2. 2017 (281)
    1. December (2)
    2. November (33)
    3. October (34)
    4. September (16)
    5. August (3)
    6. July (17)
    7. June (26)
    8. May (27)
    9. April (14)
    10. March (38)
    11. February (42)
    12. January (29)
  3. 2016 (335)
  4. 2015 (209)
  5. 2014 (235)
  6. 2013 (251)
  7. 2012 (135)