Kazuki MORIMOTO

Kazuki MORIMOTO

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Algebra
Senior assistant 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. M. Furusawa and K. Morimoto, On special values of certain L-functions II. to appear in Amer. J. Math.
  2. M. Furusawa and K. Morimoto, On special values of certain L-functions. Amer. J. Math. 136 (2014), no. 5, 1385--1407.
  3. K. Morimoto, On the theta correspondence for (GSp(4), GSO(4,2)) and Shalika periods. Represent. Theory 18 (2014), 28--87.
  4. 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.
  5. M. Furusawa and K. Morimoto, Shalika periods on GU(2,2), Proc. Amer. Math. Soc. 141 (2013), no.12, 4125--4137.