[Turkmath:7367] FGC-Higher Structures Seminars::Emanuele Pavia::20.01.2026 at 18:00 Istanbul time

[kazimilhan.ikeda]

Değerli Matematikçiler,

Feza Gürsey Fizik ve Matematik UygAr Merkezi - Yüksek Yapılar 
Seminerleri kapsamında bu Salı (20 01, 2026)
saat 18:00'da yapılacak olan konuşmanın detayları aşağıdadır.

Saygılarımla,
İlhan İkeda

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

Dear friends,

On 20.01.2026 Tuesday, at 18:00 Istanbul local time (16:00 
Trieste/Esch-sur-Alzette local time), Emanuele Pavia from Université du 
Luxembourg and SISSA-Trieste will be the speaker of our FGC Higher 
Structures Seminars.

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

Speaker: Emanuele Pavia (Université du Luxembourg and SISSA-Trieste)
Date: January 20, 2026
Time: 18:00 Istanbul local time (16:00 Trieste/Esch-sur-Alzette local 
time).

Title: Categorification of Koszul duality in algebraic topology

Abstract:
It is well known that for a pointed topological space X both the 
singular chains on its n-fold loop space C_∙(Ω_*^nX) and its singular 
cochains C^∙(X) are En-algebras. When X is sufficiently nice and the 
ground ring is a field, then these E_n-algebras are Koszul dual: for 
n=1, this means that they are Koszul dual associative algebras. In this 
latter case, Beilinson, Ginzburg and Soergel proved that their bounded 
derived categories are equivalent.

In this talk, we will see how a similar statement holds for all integers 
n≥2 after considering categorified modules over the En-algebras 
C_∙(Ω_*^nX) and C^∙(X). These arise geometrically as higher categories 
of quasi-coherent sheaves over two (inequivalent) derived stacks, both 
associated to the topological space X .
This is based on joint work with James Pascaleff and Nicolò Sibilla.

Feza Gursey Center for Physics and Mathematics is inviting you to a 
scheduled Zoom meeting.

Topic: Higher Structures Seminars

Time: This is a recurring meeting Meet anytime (so Zoom link will be 
active at 17:45 Istanbul LT on)

Join Zoom Meeting
https://ozyegin-edu-tr.zoom.us/j/93563904955?pwd=9xh1VJjxaaiShD7SmI0YLs3XemY1hQ.1

Meeting ID: 935 6390 4955
Passcode: 699568

Best regards,
Ilhan

Organized by Feza Gürsey Center for Physics and Mathematics.
Zoom link is kindly provided by Özyeğin University.

Feza Gürsey Fizik ve Matematik UygAr Merkezi tarafından 
düzenlenmektedir.
Zoom bağlantısı Özyeğin Üniversitesi tarafından sağlanmaktadır.