SFBSeminartag in Bonn
Duco von Straten (Mainz) and Daniel Greb (Essen)
What 


When 
Dec 03, 2015 from 02:15 pm to 05:45 pm 
Where  Bonn, Lipschitzsaal (1.016) 
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14:15 Duco Van Straten: CalabiYau Periods
15:45 Coffee and cake
16:30 Daniel Greb: Higherdimensional Birational Geometry  Minimal Model Program, MiyaokaYau Inequality, and Uniformisation
After an introduction to the basic goals and notions of higherdimensional birational geometry and the minimal model program, I will concentrate on the case of varieties of general type. By the seminal work of BirkarCasciniHaconMcKernan (~2006) the minimal model program is known to work for these, so that every smooth projective variety of general type admits a minimal as well as a canonical model. Motivated by Riemann's Uniformisation Theorem in one complex variable, I will then describe approaches to higherdimensional uniformisation theorems. Time permitting, at the end of my talk I will explain the proof of a recent result (with Kebekus, Peternell, and Taji) that establishes the MiyaokaYau Inequality (MYI) for minimal varieties of general type and characterises those varieties for which the MYI becomes an equality as quotients of the unit ball by a cocompact discrete subgroup of PSU(n1,1).