Kazuki MORIMOTO 
Kazuki MORIMOTO
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Algebra
Associate Professor 
Building B, Room 423

Research Field :
Special values of automorphic Lfunctions,
Periods of automorphic forms,
Representation theory of padic reductive groups 

Research Summary :
Lfunctions are generalizations of zeta functions, and they are defined
for various numbertheoretic objects such as motives and Galois representations.
Among them, I study Lfunctions defined for automorphic representations.
In particular, I am working on a relationship between special values of
automorphic Lfunctions and periods of automorphic forms and
on related problems on the representation theory of padic reductive groups.


Primary Publications : 

K. Morimoto, On a certain local identity for LapidMao's conjecture and formal degree conjecture : even unitary group case.
to appear in J. Inst. Math. Jussieu

M. Furusawa and K. Morimoto, Refined global GrossPrasad conjecture on special Bessel periods and Boecherer's conjecture.
J. Eur. Math. Soc. (JEMS) 23 (2021), no. 4, 12951331.

K. Morimoto, Model transition for representations of unitary type.
Int. Math. Res. Not. IMRN 2020, no.4, 11121203.

K. Morimoto, On tensor product Lfunctions for quaternion unitary groups and GL(2) over totally real number fields: mixed weight cases.
Adv. Math.337 (2018), 317362.

M. Furusawa and K. Morimoto, On special values of certain Lfunctions II.
Amer. J. Math.138 (2016), no. 4, 11171166.

M. Furusawa and K. Morimoto, On special values of certain Lfunctions.
Amer. J. Math. 136 (2014), no. 5, 13851407.

K. Morimoto, On the theta correspondence for (GSp(4), GSO(4,2)) and Shalika periods.
Represent. Theory 18 (2014), 2887.

K. Morimoto, On Lfunctions for quaternion unitary groups of degree 2 and GL(2)
(with an appendix by M. Furusawa and A. Ichino).
Int. Math. Res. Not. IMRN 2014, no.7, 17291832.


