[PHK_seminar] [Cohomology]Wednesday 9 Oct, Maxim Grigoriev

[Igor Khavkine]

Dear All,

The video recording of the talk by Maxim Grigoriev from this week is now 
available on YouTube at

   https://youtu.be/ArF_TD2TI34

The slides of the talk are available from

   https://users.math.cas.cz/~hvle/PHK/Grigoriev2024.pdf

These links have also been recorded at the ResearchSeminars announcement

   https://researchseminars.org/talk/PHK-cohomology-seminar/110/

Best,

Igor

On 10/9/24 10:46 AM, Petr Somberg via phk_seminar wrote:
> 
>   This is just a remainder of our seminar for today!
> 
> =====================================================================
> 
>> Cohomology in algebra, geometry, physics and statistics
>> Wednesday 9 October 2024 - 13:30 to 14:30
>> Place: ZOOM metting
>>
>>
>> Speaker: Maxim Grigoriev, Mons University
>> Title: Graded geometry of local gauge theories
>> Abstract
>>
>>
>> Gauge PDEs generalize AKSZ sigma models to the case of general local
>> gauge theories. Despite being very flexible and invariant these
>> geometrical objects are usually infinite-dimensional and are difficult to
>> define explicitly, just like standard infinitely-prolonged PDEs. We
>> propose a notion of a weak gauge PDE where the nilpotency of the BRST
>> differential is relaxed in a controllable way. In this approach a
>> nontopological local gauge theory can be described in terms of a
>> finite-dimensional geometrical object. Moreover, among such objects one
>> can find a minimal one which is unique in a certain sense. In the case of
>> a Lagrangian system, the respective weak gauge PDE naturally arises from
>> the presymplectic structure. We prove that any weak gauge PDE determines
>> the standard jet-bundle BV formulation of the underlying gauge theory,
>> giving an unambiguous field-theoretical interpretation of these objects.
>> The relation to the covariant phase space and the multisymplectic
>> approaches is also discussed. The formalism is illustrated by a variety
>> of models including (super) gravity, (chiral) Yang-Mills, and a
>> non-Lagrangian self-dual Yang-Mills theory.
>>
>>
>>
>>
>> _________________________________________________________________________
>> _____________
>>
>>
>>
>>
>>
>> We shall open ZOOM at 13.15 for  veritual coffee and close the room at
>> 15:00
>>
>>
>>
>>
>>
>> Join Zoom Meeting
>>
>>
>>
>>
>>
>> https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRU9
>>
>>
>>
>>
>>
>> MeetingID:99598413922
>>
>>
>>
>>
>>
>> Passcode:Galois
>>
>>
>>
>> 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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>>
> 
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