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Iwasawa theory and Bloch-Kato conjecture for unitary groups - Xin Wan
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Joint IAS/Princeton University Number Theory Seminar
Iwasawa theory and Bloch-Kato conjecture for unitary groups
We describe a new method to study Eisenstein family and Iwasawa theory on unitary groups over totally real fields of general signatures. As a consequence we prove that if the central L-value of a cuspidal eigenform on the unitary group twisted by a CM character is 0, then the corresponding Selmer group has positive rank. The method also has a byproduct the p-adic functional equations for p-adic L-functions and p-adic families of Eisenstein series on unitary groups.
FEATURING
Xin Wan
SPEAKER AFFILIATION
Morningside Center of Mathematics, Chinese Academy of Sciences
AFFILIATION
Mathematics
Iwasawa theory and Bloch-Kato conjecture for unitary groups
We describe a new method to study Eisenstein family and Iwasawa theory on unitary groups over totally real fields of general signatures. As a consequence we prove that if the central L-value of a cuspidal eigenform on the unitary group twisted by a CM character is 0, then the corresponding Selmer group has positive rank. The method also has a byproduct the p-adic functional equations for p-adic L-functions and p-adic families of Eisenstein series on unitary groups.
FEATURING
Xin Wan
SPEAKER AFFILIATION
Morningside Center of Mathematics, Chinese Academy of Sciences
AFFILIATION
Mathematics