Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Prof. Dr. Klaus Hulek
Leibniz Universität Hannover

 
spricht am
 
Dienstag, 20. November 2018
 
um
 
15:45 Uhr
 
im
 
Raum 1010 (L1)
 
über das Thema:
 

»Moduli Spaces of Cubic Threefolds — Geometry and Topology«

Abstract:
Cubic threefolds were the first class of varieties who were shown to be unirational but not rational (Clemens,Griffiths). The key tool of the proof is the intermediate Jacobian, a principally polarized abelian variety of dimension 5. There is a second link to Hodge theory, namely via cubic fourfolds (Allcock, Carlson, Toledo) which leads to a 10-dimensional ball quotient model. Looking at cubic threefolds from these different points of view leads to various geometrically relevant compactifications of the moduli space of cubic threefolds. In this talk I will discuss the geometry and the topology of these spaces. This is joint work with S. Casalaina-Martin, S. Grushevsky and R. Laza.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov
 

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



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