Approach Number Theory from the theory of Automorphic Representations
Department of Mathematics, Mathematics
Liftings of automorphic forms and classification of automorphic representations
|Field||The theory of automoprhic represetations|
|Keyword||Automorhic represetations, Liftings of automorphic forms, Langlands correspondence|
Introduction of Research
Automorphic forms, which are functions with rich symmetry, give us several number theoritic infomation, such as analytic continuation and functional equations of L-functions.
I study automorphic representations, which are representations consists of automorphic forms.
Arthur's classification which is a classification of automorphic representations of classical groups, is difficult to understand.
My main research thema is to study Arthur's classification using liftings of automorphic forms.
Local theta correspondence of tempered representations and Langlands parameters.
Invent. Math. 210 (2017), no. 2, 341–415.
On the uniqueness of generic representations in an L-packet.
Int. Math. Res. Not. IMRN 2017, no. 23, 7051–7068.
The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case.
Math. Ann. 371 (2018), no. 1-2, 225–295.
J. Number Theory 153 (2015) 158–229.
On the local Langlands correspondence and Arthur conjecture for even orthogonal groups.
Represent. Theory 21 (2017), 354–415.
I am from Osaka.
|Affiliated academic society||The Mathematical Society of Japan|
|Room address||Faculty of Science, Building No. 4 4-512|