[Turkmath:6432] FGC-Higher Structures Seminars::John Huerta [April 09, 2024 at 18:00 Istanbul time]

[kazimilhan.ikeda]

Sayın matematikçiler,

Feza Gürsey Fizik ve Matematik UygAr Merkezi Yüksek Yapılar Seminerleri 
kapsamında 9 Nisan saat 18:00'da yapılacak konuşmanın detayları 
aşağıdadır.

İyi çalışmalar, saygılar,

K. İlhan İkeda

----------------------

Dear friends,

On April 09, 2024 Tuesday at 18:00 Istanbul local time (16:00 Lizbon 
local time), John Huerta from Instituto Superior Técnico - Lisboa will 
be the speaker of Feza Gursey Center for Physics and Mathematics Higher 
Structure Research Group Seminars.

The details of John's seminar talk are as follows:

Speaker: John Huerta (Instituto Superior Técnico - Lisboa)

Date: April 09, 2024, Tuesday

Time: 18:00 Istanbul local time (16:00 Lizbon local time)

Title:Poincaré duality for families of supermanifolds [1]

It is well known to experts, but seldom discussed explicitly, that 
smooth supergeometry is best done in families. This is also called the 
relative setting, and it implies that we need relative versions of 
standard supergeometric constructions. Such constructions include the de 
Rham complex familiar from ordinary differential geometry, but in the 
supergeometric setting, they also include more exotic objects, such as 
the Berezinian line bundle (whose sections are the correct objects to 
integrate over supermanifolds) and the related complex of integral 
forms, where the super version of Stokes' theorem lives. To work in 
families, we introduce relative versions of the de Rham complex and the 
integral form complex, and we prove that they satisfy a relative version 
of Poincaré duality. No background in supergeometry will be assumed for 
this talk.

This is joint work with Konstantin Eder and Simone Noja.

Zoom uygulaması _Bilim Akademisi_ tarafından sağlanmaktadır./Zoom link 
is provided by _The Science Academy._
Zoom link details:
(As usual the zoom link will be active 30 minutes before the seminar 
time.)

Time: Apr 9, 2024 17:30 Istanbul

Join Zoom Meeting
https://us02web.zoom.us/j/85990261915?pwd=bUU1OUhJUmpKaUllbHdhVWJOa3dsQT09 
[2]

Meeting ID: 859 9026 1915
Passcode: 578799

Best Regards,
Ilhan

Organized by Feza Gürsey Center for Physics and Mathematics
Supported by Bilim Akademisi - The Science Academy

  --



Links:
------
[1] http://www.turkmath.org/beta/seminer.php?id_seminer=3643
[2] 
https://us02web.zoom.us/j/85990261915?pwd=bUU1OUhJUmpKaUllbHdhVWJOa3dsQT09
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