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.

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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