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AS-NCTS Special Lecture Series of Arithmetic Geometry
10:00 - 12:00, October 26, 2018 (Friday)
Lecture Hall, 6F, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 六樓演講廳)
Cancelled-- p-adic Hodge Theory via the Mysterious Curve
Jean-Marc Fontaine (Université Paris-Sud)

This lecture is cancelled.



I will introduce the fundamental curve of -adic Hodge theory constructed by Laurent Fargues and myself. I will explain the construction and main properties of this curve, and describe the classification of vector bundles on the curve. As applications, I will show how one can use this curve
(a)  to introduce hierarchy of -adic representations of the absolute Galois group of  of a -adic field , and
(b)  to prove the main results of the arithmetic part of -adic Hodge theory giving rise to a complete classification of the so called de Rham representations.

Abstract: events_1_1809044150126142.pdf

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