Room 509, Cosmology Building, NTU
(臺灣大學次震宇宙館 509研討室)
On Deligne’s Conjecture for Symmetric Fifth L-functions of Modular Forms
Shih-Yu Chen (National Tsing Hua University)
Abstract:
Given an elliptic newform
, we can associate the symmetric
-th power
-functions
)%24&chf=bg,s,333333&chco=ffffff)
for each
. In 1977, Deligne’s proposed a conjecture on the algebraicity of critical values of
in terms of periods attached to
. The conjecture was considered by various authors when
. In this talk, we will introduce a proof of the conjecture when
.
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