[Turkmath:7108] FGC-Higher Structures Seminars::Alexander Zimmermann::29 April Tuesday, 2025 at 18:00 Istanbul time

[kazimilhan.ikeda]

Değerli Matematikçiler,

Önümüzdeki Salı günü saat 18:00'da çevrimiçi yapılacak Feza Gürsey 
Enstitüsü Yüksek Yapılar Seminer konuşmasının detayları aşağıda 
bulunmaktadır.

İyi çalışmalar,
ilhan

-------- Original Message --------

Dear friends,

On the 29th of April 2025 Tuesday at 18:00 Istanbul/17:00 Amiens local 
time, Alexander Zimmermann from Université de Picardie will be the 
speaker of the Feza Gursey Center for Physics and Mathematics Higher 
Structures Research Group Seminars.

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

Speaker: Alexander Zimmermann (Université de Picardie)

Date: April 29, 2025, Tuesday.
Time: 18:00 Istanbul local time/17:00 Amiens local time

Title: _On the ring theory of differential graded algebras_
Abstract:
Let R be a commutative ring. Following Cartan (1954) a differential 
graded algebra (A,d) over R is a Z-graded R-algebra A with a homogeneous 
R-linear endomorphism d of degree 1 with d2=0 satisfying
d(a⋅b)=d(a)⋅b+(-1)∣a∣a⋅d(b)
for any homogeneous a, b ∈ A of degree ∣a∣, resp. ∣b∣. Similarly, a 
differential graded module is defined as a Z-graded A-module with an 
endomorphism δ of degree 1 and square 0 satisfying
δ(a⋅m)=d(a)⋅m+(-1)∣a∣a⋅δ(m)
for all homogeneous a ∈ A and m ∈ M . Until very recently the ring 
theory of differential graded algebras and differential graded modules 
remained largely unexplored. The case of acyclic differential graded 
algebras was completely classified by Aldrich and Garcia-Rozas in 2002 
and the case of R being a field and A being finite dimensional was 
considered by Orlov in 2020, basically with geometric motivations in 
mind. In a more systematic study I studied basic ring theoretical 
questions, such as a notion of dg-Jacobson radicals, a dg- Nakayama 
lemma, Ore localisation of dg-algebras, and dg-Goldie's theorem. Most 
interestingly, several standard properties in general ring theory do not 
generalise, but some do. We give examples, and further classify 
dg-division rings and dg-separable dg-field extensions, and also a 
dg-version of the classical Levitzki-Hopkins theorem on artinian 
respectively semiprimary algebras.

Zoom link details:
(As usual the Zoom link will be active 30 minutes before the seminar 
time; that is at 17:30 Istanbul local time/16:30 Amiens local time.)

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 17:30 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 the Özyeğin University.

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