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 L-functions, Periods of automorphic forms, Representation theory of p-adic reductive groups
Research Summary : L-functions are generalizations of zeta functions, and they are defined for various number-theoretic objects such as motives and Galois representations. Among them, I study L-functions defined for automorphic representations. In particular, I am working on a relationship between special values of automorphic L-functions and periods of automorphic forms and on related problems on the representation theory of p-adic reductive groups.
Primary Publications :
  1. K. Morimoto, On a certain local identity for Lapid-Mao's conjecture and formal degree conjecture : even unitary group case. to appear in J. Inst. Math. Jussieu
  2. M. Furusawa and K. Morimoto, Refined global Gross-Prasad conjecture on special Bessel periods and Boecherer's conjecture. J. Eur. Math. Soc. (JEMS) 23 (2021), no. 4, 1295--1331.
  3. K. Morimoto, Model transition for representations of unitary type. Int. Math. Res. Not. IMRN 2020, no.4, 1112--1203.
  4. K. Morimoto, On tensor product L-functions for quaternion unitary groups and GL(2) over totally real number fields: mixed weight cases. Adv. Math.337 (2018), 317--362.
  5. M. Furusawa and K. Morimoto, On special values of certain L-functions II. Amer. J. Math.138 (2016), no. 4, 1117--1166.
  6. M. Furusawa and K. Morimoto, On special values of certain L-functions. Amer. J. Math. 136 (2014), no. 5, 1385--1407.
  7. K. Morimoto, On the theta correspondence for (GSp(4), GSO(4,2)) and Shalika periods. Represent. Theory 18 (2014), 28--87.
  8. K. Morimoto, On L-functions 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, 1729--1832.