[PHK_seminar] [Cohomology]Wednesday 13 Mar, Vladimir Chernov]

[Petr Somberg]

 This is just a gentle remainder for our seminar. As for today, we
shall start a bit later than usual.

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     Cohomology in algebra, geometry, physics and statistics




         Wednesday, 13 March 2024 - 15:00 to 16:00

         Place: ZOOM  meeting




         Speaker: Vladimir Chernov, Dartmouth College

         Title: Virtual Legendrian knots and possible relations to
causality in Borde–Sorkin spacetimes



         Abstract


We review our results with Stefan Nemirovski on the relation

of Legendrian linking and causal structure in globally hyperbolic

spacetimes. After that we discuss virtual Legendrian knots defined as

Legendrian knots in ST^∗M studied up to isotopy and modification of

ST^∗M induced by surgery on M that were introduced by Patricia Cahn

and Asa Levi. We formulate a few conjectures about them and

conjecturally relate them to causality in Borde–Sorkin spacetimes that

are manifolds with a Lorentz metric that is degenerate at critical

points of a Morse "timelike" function and that consist of globally

hyperbolic pieces between critical levels. We prove these conjectures

for 2+1 dimensional Borde–Sorkin spacetimes.

The talk is based on the joint work with Rustam Sadykov.

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We shall open  ZOOM at 14.45 for virtual coffee

Join Zoom Meeting

https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09

MeetingID:99598413922

Passcode:Galois





          For more information see the seminar web page at

          https://www.math.cas.cz/index.php/events/seminar/16




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