[Turkmath:6657] Galatasaray Universitesi Seminer Duyurusu - Atabey Kaygun - 16.10.24

[Galatasaray Üniversitesi Matematik Seminerleri]

*Speaker:* Atabey Kaygun- Istanbul Teknik Üniversitesi
*Date:* Wednesday, 16 October 2024
*Time:* 15:00 - 16:00
*Location:* Galatasaray Üniversitesi, Ortaköy, Çırağan Cd. No:36, 34349 
Beşiktaş - H304

*Title:*Distributive Laws and Cross Simplicial Groups

Abstract: There is a way of writing an algebraic structure
(a group or an algebra or a category) as a product of two substructures.
This is known as a distributive law, and also as a factorization system. 
After giving examples,
I am going to introduce crossed simplicial groups. Crossed simplicial 
groups are defined by a distributive law between the
simplicial category  $\Delta$  and a suitable collection of groups. My 
main aim is to
explain how one can extend the notion of 'simplicial homotopy' to 
crossed simplicial
groups. We'll end with a very interesting example coming from Leibniz 
algebras that are
non-skew-symmetric analogues of Lie algebras.

*Note:*

  * To access the complete seminar calendar please visit
    https://matematik.gsu.edu.tr/tr/arastirma/seminerler
    and to add to your calendar use ical url.
    <https://calendar.google.com/calendar/ical/mathseminar%40galatasaray.education/public/basic.ics>
  * Participants from outside Galatasaray Üniversitesi are kindly
    requested to send an email to mathseminar at galatasaray.education
    before 13:00 on the day of the seminar.

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Galatasaray Üniversitesi Matematik Bölümü
https://matematik.gsu.edu.tr/
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