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NCTS Seminar on Number Theory
10:30 - 11:30, November 5, 2021 (Friday)
R509, Cosmology Building, NTU
(臺灣大學宇宙學大樓 509室)
A Survey on the Recent Development of Special Elements of p-adic Representations
Kwok-Wing Tsoi (National Taiwan University)


In recent years there has been increasing interest in the study of elements that lie in the higher exterior powers of the cohomology of p-adic Galois representations that are defined over a number field.
In the best case, one hopes that a collection of such elements that are defined over a family of abelian extensions constitutes a ‘higher rank Euler system’ is explicitly related to special values of an L-series associated to the representation and leads to Galois structural information about the Selmer modules of the representation. 
In this talk, I will survey the recent development of the theory initiated by several projects of D.Burns and his collaborators. I will also describe how this theory gives new resolution and refinement even in a classical setting.
Meeting number (access code): 2517 780 0164
Meeting password: t2HPPcYRS88 (82477297 from phones and video systems)


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