Cohomology in algebra, geometry, physicsand statistics
Cosmic Censorship and Smooth Structures, Legendrian linking and black holes
Speaker’s name:
Vladimir Chernov
Speaker’s affiliation:
Dartmouth College
Place:
ZOOM meeting
Date:
Wednesday, 15. December 2021 - 11:30 to 12:30
Abstract:
Jointly with Nemirovski we showed that Strong Cosmic Censorship conjecture of Penrose prohibits all exotic smooth structures in the case where the spacetime is 4-dimensional and the Cauchy surface is either compact or contractible. The result in particular is based on the Thurston geometrization conjecture proved by Perelman.
We briefly recall the interpretation of Causality in globally hyperbolic spacetimes as Legendrian linking of the spheres of light rays through the two event points proved jointly with Nemirovski. Then we formulate similar work in progress results with Sadykov in the case where the spacetimes are not globally hyperbolic and the topology of the level set of a time like function changes with time. Here we use the virtual Legendrian isotopy results with Sadykov.
Finally we explain how black holes and their event horizon can be studied in terms of the Legendrian linking coming from the event horizon.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------
Our ZOOM meeting shall be open at 11.15 and closed at 1 PM.
Join Zoom Meeting https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09
Meeting ID: 995 9841 3922
Passcode: Galois
We briefly recall the interpretation of Causality in globally hyperbolic spacetimes as Legendrian linking of the spheres of light rays through the two event points proved jointly with Nemirovski. Then we formulate similar work in progress results with Sadykov in the case where the spacetimes are not globally hyperbolic and the topology of the level set of a time like function changes with time. Here we use the virtual Legendrian isotopy results with Sadykov.
Finally we explain how black holes and their event horizon can be studied in terms of the Legendrian linking coming from the event horizon.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------
Our ZOOM meeting shall be open at 11.15 and closed at 1 PM.
Join Zoom Meeting https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09
Meeting ID: 995 9841 3922
Passcode: Galois