Department Mathematik
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Mathematisches Kolloquium


Am Donnerstag, 14.06.2018, um 16:30 Uhr spricht

Thomas Peternell
(Universität Bayreuth )

im HS A027 über das Thema

The Miyaoka-Yau inequality, non-abelian Hodge correspondence and uniformization of manifolds of general type

Zusammenfassung: The classical Riemann mapping theorem states in particular that the universal cover of a compact Riemann surface of genus at least 2, i.e, of negatively curved Riemann surfaces, is the unit ball. In higher dimensions, the famous Miyaoka-Yau inequality establishes a Chern class inequality for negatively curved manifolds. In case of equality the manifold is covered by the unit ball. In my talk I will discuss to what extent this picture is still valid for manifolds of "general type?. Manifolds of general type are the most natural generalizations of Riemann surfaces of genus at least 2 from the viewpoint of algebraic geometry. I will explain recent results in this direction with D.Greb, S. Kebekus and B.Taji. A main tool is the Simpson (non-abelian) Hodge correspondence on certain singular spaces.

Alle Interessierten sind hiermit herzlich eingeladen. Eine halbe Stunde vor dem Vortrag gibt es Kaffee und Tee im Sozialraum (Raum 448) im 4. Stock.

Treffpunkt zum Abendessen um 18.00 Uhr wird noch bekannt gegeben.