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A 2-adic automorphy lifting theorem for unitary groups over CM fields

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Peer-reviewed

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Abstract

We prove a ‘minimal’ type automorphy lifting theorem for 2-adic Galois representations of unitary type, over imaginary CM fields. We use this to improve an automorphy lifting theorem of Kisin for GL2 .

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Journal Title

Mathematische Zeitschrift

Conference Name

Journal ISSN

0025-5874
1432-1823

Volume Title

285

Publisher

Springer Nature

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Sponsorship
Clay Mathematics Institute