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

This quantity includes chosen papers authored via audio system and individuals of the 2013 Arbeitstagung, held on the Max Planck Institute for arithmetic in Bonn, Germany, from might 22-28. The 2013 assembly (and this ensuing complaints) used to be devoted to the reminiscence of Friedrich Hirzebruch, who passed on to the great beyond on may possibly 27, 2012. Hirzebruch equipped the 1st Arbeitstagung in 1957 with a different idea that might turn into its such a lot virtue: this system used to be now not decided previously via the organizers, yet through the assembly via all members in an open dialogue. This ensured that the talks will be at the most up-to-date advancements in arithmetic and that many vital effects have been offered on the convention for the 1st time. Written via top mathematicians, the papers during this quantity conceal numerous themes from algebraic geometry, topology, research, operator conception, and illustration thought and exhibit the breadth and intensity of natural arithmetic that has regularly been attribute of the Arbeitstagung.

**Read Online or Download Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch PDF**

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**Example text**

M. Aubert et al. by the short exact sequence 1 ! Z ! S ! S ! 1: Hence S has more irreducible representations than S . F/. D/ when char F D 0. 2]). C/-conjugacy classes of pairs . S /. D/der determines ˇZ and conversely. F/, temperedness and essential square-integrability of representations. D/der / has more than one element. D/der there are two candidates. Besides the Moy–Prasad depth one can define the normalized level, just as in (19). F/ in [BuKu]. 2. D/der equals its normalized level. Proof.

Px;d. /C / F : 1 ı Nrd appears in the action of Hence there is a character of F such that Px;d. /C on Vv . -M. Aubert et al. nonzero vector fixed by Px;d. /C , so ı Nrd/ Ä d. / < d. /: d. ˝ This contradicts the assumptions of proposition, so (37) must be an equality. C/ ! F/ is defined as in Sect. 3: d. Fs =F/lC ker g: The following result may be considered as the non-archimedean analogue of [ChKa, Theorem 1] in the case of the geometric local Langlands correspondence. 4. F//. Then d. D/der / with Langlands parameter d.

An enhanced Langlands parameter is a pair . S /. -M. Aubert et al. by the short exact sequence 1 ! Z ! S ! S ! 1: Hence S has more irreducible representations than S . F/. D/ when char F D 0. 2]). C/-conjugacy classes of pairs . S /. D/der determines ˇZ and conversely. F/, temperedness and essential square-integrability of representations. D/der / has more than one element. D/der there are two candidates. Besides the Moy–Prasad depth one can define the normalized level, just as in (19). F/ in [BuKu].