Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Elizaveta Vishnyakova
Universidade Federal de Minas Gerais, Brazil

 
spricht am
 
Donnerstag, 13. Juli 2017
 
um
 
10:00 Uhr
 
im
 
Raum 3008 (L1)
 
über das Thema:
 

»About graded manifolds«

Abstract:
Vector bundles and double vector bundles, or 2-fold vector bundles, arise naturally for instance as base spaces for algebraic structures such as Lie algebroids, Courant algebroids and double Lie algebroids. It is known that all these structures possess a unified description using the language of super-geometry and graded manifolds of degree ≤ 2. Indeed, a link has been established between the super and classical pictures by the geometrization process, leading to an equivalence of the category of graded manifolds of degree ≤ 2 and the category of (double) vector bundles with additional structures. Our talk is devoted to the geometrization process in the case of Zr-graded manifolds of type Δ, where Δ is a certain weight system and r is the rank of Δ. We establish an equivalence between a subcategory of the category of n-fold vector bundles and the category of graded manifolds of type Δ.

 

Hierzu ergeht herzliche Einladung.
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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