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Brandon Levin (IAS, Princeton)
Tuesday 26 November 2013, 16:15-17:15
G-valued flat deformations and local models
- 👤 Speaker: Brandon Levin (IAS, Princeton)
- 📅 Date & Time: Tuesday 26 November 2013, 16:15 - 17:15
- 📍 Venue: MR13
Abstract
I will begin with a brief introduction to the deformation theory of Galois representations and its role in modularity lifting. This will motivate the study of local deformation rings and more specifically flat deformation rings. I will then discuss Kisin’s resolution of the flat deformation ring at l = p and describe conceptually the importance of local models of Shimura varieties in analyzing its geometry. Finally, I will address how to generalize these results from GL_n to a general reductive group G. If time permits, I will describe briefly the role that recent advances in p-adic Hodge theory and local models of Shimura varieties play in this situation.
Series This talk is part of the Number Theory Seminar series.
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