In this talk I want to discuss geometric objects parametrizing representations of absolute Galois groups of global fields (like the rational numbers) and of local fields (like their p-adic completion). As part of the philosophy of the Langlands program the phenomena in the geometry of these so called moduli spaces of Galois representations are closely related to phenomena in the representation theory of the group GL_n (with various coefficients depending on the chosen moduli space of Galois representations). I will explain some geometric results, give examples of the interplay of geometry with representation theory and explain the relation of these results with the Langlands program and with some of the projects in the CRC.

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https://www.uni-muenster.de/FB10srvi/persdb/zoomtitle.php?id=Start-SFB1442