[PHK_seminar] [Cohomology]Wednesday 29 Apr, Roee Leder]

[hvle]

Hi Igor,

you shall be the   chairman right?

Best,

Van


On 2026-04-29 11:32, Petr Somberg via phk_seminar wrote:
> This is just the reminder of our seminar!
> 
> --------------------------------------------------------------------------
> 
> 
> 
> 
>      Cohomology in algebra, geometry, physics and statistics
> 
> 
> 
> 
>          Wednesday, 29 April 2026 - 13:30 to 14:30
> 
>          Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1,
> ZOOM meeting
> 
> 
> 
> 
>          Speaker: Roee Leder, Hebrew University of Jerusalem
> 
>          Title: Cohomology for linearized Ricci curvature
> 
> 
> 
>          Abstract
> 
> 
> I will present full solvability and uniqueness conditions for the
> linearized Ricci curvature equations on compact Riemannian manifolds 
> with
> boundary. These equations have long resisted analysis without 
> restrictive
> curvature assumptions; the results I shall present are the first 
> obtained
> without such restrictions in the interior. The approach relies on a
> generalized Hodge theory, based on microlocal methods, to reduce the
> problem to the study of two newly identified cohomologies. By means of
> Bochner technique, I also prove vanishing theorems for these 
> cohomologies:
> notably, by incorporating connections on Riemannian metrics, the first
> cohomology vanishes if the boundary is convex, and the second 
> cohomology
> vanishes if adapted to traceless-transverse (TT) tensors, and the 
> boundary
> is round. I shall also discuss how this cohomological formulation 
> captures
> the natural gauge group of geometric inverse problems and relates to 
> the
> injectivity of the Lichnerowicz Laplacians on TT tensors.
> ------------------------------------------------------------------------------------------------------------------------------------
> 
> 
> We shall open  ZOOM meeting at 13.15 for  virtual coffee and close ZOOM 
> at
> 15.30
> 
> 
> Join Zoom Meeting
> 
> 
> https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09
> 
> 
> Meeting ID:99598413922
> Passcode:Galois
> -------------------------------------------------------------------------------------------------------------------
> 
> On Wednesday  May 6,  Svatopluk Kryls shall  give  a lecture   
> Cohomology
> of symplectic spinor twisted de Rham sequence and its subcomplexes
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
>           For more information see the seminar web page at
> 
>           https://www.math.cas.cz/index.php/events/seminar/16
> 
> 
> 
> 
>          Cohomology in algebra, geometry, physics and statistics 
> mailing list
> 
>          phk_seminar at math.cas.cz
> 
>          https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
> 
> 
> 
> 
> 
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