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Cohomology in algebra, geometry, physicsand statistics

Filtered expansions in general relativity

Speaker’s name: 
Michael Reiterer
Speaker’s affiliation: 
Hebrew University of Jerusalem

 

Place: 
ZOOM meeting
Date: 
Wednesday, 21. April 2021 - 11:30 to 12:30
Abstract: 
I will review the BKL (Belinskii-Khalatnikov-Lifshitz) proposal for singularities in general relativity, for spatially homogeneous and spatially inhomogeneous spacetimes. Then I will discuss a construction of formal power series solutions, for one BKL bounce, which is a building block for the BKL proposal. I will in particular highlight the algebraic tools that we use, namely Maurer-Cartan perturbation theory and a filtration that organizes the calculations. Joint with Eugene Trubowitz, see arxiv.org/abs/1905.09026 and arxiv.org/abs/2005.03390.

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