By Werner Ballmann,Christian Blohmann,Gerd Faltings,Peter Teichner,Don Zagier

This quantity comprises chosen papers authored by means of audio system and individuals of the 2013 Arbeitstagung, held on the Max Planck Institute for arithmetic in Bonn, Germany, from may well 22-28. The 2013 assembly (and this ensuing lawsuits) was once devoted to the reminiscence of Friedrich Hirzebruch, who gave up the ghost on may perhaps 27, 2012. Hirzebruch prepared the 1st Arbeitstagung in 1957 with a distinct idea that may develop into its so much virtue: this system was once now not decided previously via the organizers, yet through the assembly through all individuals in an open dialogue. This ensured that the talks will be at the most recent advancements in arithmetic and that many vital effects have been offered on the convention for the 1st time. Written through best mathematicians, the papers during this quantity conceal quite a few themes from algebraic geometry, topology, research, operator concept, and illustration thought and show the breadth and intensity of natural arithmetic that has continuously been attribute of the Arbeitstagung.

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