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P-adic Trace and Eigenvariety
项征御 教授(上海数学中心)
2018-01-01 12:13  华东师范大学

摘 要:In this talk, I will review the cohomological approach to the study of p-adic automorphic representations, in particular, I will show how to use a p-adic trace formula to interpolate the alternating trace of the Hecke action on the overconvergent cohomology. As an application, I will give a way to construct eigenvariety and twisted eigenvariety, and explain how their comparsion leading to a base change theory of family of p-adic automorphic forms.