[Turkmath:7481] Updated invitation: Departmental Seminar - Keremcan Doğan, Gebze Technical Un... @ Wed May 6, 2026 16:00 - 17:00 (GMT+3) (turkmath at listweb.bilkent.edu.tr)

Mon May 4 03:57:41 UTC 2026

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Departmental Seminar - Keremcan Doğan, Gebze Technical University
Wednesday May 6, 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

Join with Google Meet
https://meet.google.com/cuo-tuyk-hte?hs=224

Join by phone
(US) +1 915-247-5177
PIN: 224480191

Title: Exceptional Drinfel’d Algebroids and RackoidsAbstract: String and  
M-theories dictate new symmetry notions that are absent in point-particle  
theories. The generalized geometry program extends usual differential  
geometry in a suitable manner to explain one class of these new symmetries,  
known as T-duality. In particular, Poisson-Lie T-duality can be understood  
as arising from different decompositions of the Drinfel’d double of a Lie  
bialgebra, which is itself a Lie algebra. Extending this to the algebroid  
setting leads to Drinfel’d doubles of Lie bialgebroids, which are Courant  
algebroids. In order to explain another class of new symmetries, called  
U-duality, one needs to further extend these notions. In one of our recent  
works, we extended Lie bialgebroids and their Drinfel’d doubles to a set-up  
in which the vector bundles are not dual in the usual sense, and we  
introduced bialgebroids and their Drinfel’d doubles via a calculus  
framework on algebroids. In this talk, we use this framework to introduce  
and construct a specific type of algebroid, which we call exceptional  
Drinfel’d algebroids. We prove that these are algebroid versions of  
exceptional Drinfel’d algebras, which have recently been defined in the  
physics literature in order to extend the Lie bialgebra/T-duality relation  
to the U-duality case; hence the name. We provide a mathematically rigorous  
framework to describe these algebras and their algebroid versions in a  
frame-independent manner, where we use Nambu-Poisson structures and their  
certain generalizations. Moreover, we introduce exceptional Drinfel’d  
rackoids, which are global versions of exceptional Drinfel’d algebroids,  
analogous to the relation between a Lie group and its Lie algebra. As  
examples, we focus on the $SL(5)$ and $E_{6(6)}$ cases; for the latter we  
also use another extension called proto bialgebroids, where $H$- and  
$R$-fluxes are present.

Organizer
Galatasaray Universitesi Matematik Seminerleri
mathseminar at galatasaray.education

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