[Turkmath:7456] Invitation: Departmental Seminar - Begüm Ateşli, İTÜ @ Wed Apr 8, 2026 16:00 - 17:00 (GMT+3) (turkmath at listweb.bilkent.edu.tr)

[Galatasaray Universitesi Matematik Seminerleri]

Departmental Seminar - Begüm Ateşli, İTÜ
Wednesday Apr 8, 2026 ⋅ 16:00 – 17:00
Türkiye Standard Time

Location
Galatasaray University, Ortaköy, Çırağan Cd. No:36, 34349  
Beşiktaş/İstanbul, Türkiye Room: H307	
https://www.google.com/maps/search/Galatasaray+University,+Ortak%C3%B6y,+%C3%87%C4%B1ra%C4%9Fan+Cd.+No:36,+34349+Be%C5%9Fikta%C5%9F%2F%C4%B0stanbul,+T%C3%BCrkiye+Room:+H307?hl=en



Title: On the Structural Foundations of Lie Algebroids and Their Higher  
AnaloguesAbstract: This talk is concerned with the structural theory of Lie  
algebroids and 3-Lie algebroids. After reviewing the basics of Lie  
algebroids and their connection with Poisson geometry, we introduce a  
coupling construction based on mutual actions and cocycle terms that  
produces a Lie algebroid structure on the direct sum of two vector bundles.  
This bicocycle double cross product construction yields a unified framework  
for several geometric extensions. We then discuss the analogous  
construction for 3-Lie algebroids. In the final part of the talk, we  
explain how a 3-Lie algebroid can be constructed from a given Lie algebroid  
by using differential operators, Lie and 3-Lie connections, and curvature  
operators. We also indicate how Poisson Lie algebroids fit into this  
picture, leading to a Poisson 3-Lie algebroid structure.

Organizer
Galatasaray Universitesi Matematik Seminerleri
mathseminar at galatasaray.education

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