My research area is number theory, especially automorphic representations and representations of p-adic groups.
Overview of the research
Automorphic L-functions are complex functions associated with certain functions on algebraic groups called automorphic forms. They are expected to play an important role in number theory. In the automorphic representation theory, many researchers are studying automorphic L-functions using techniques of representation theory. In particular, the study of relations between period integrals of automorphic forms and analytic properties of automorphic L-functions is a highly active research area. My research interests are to describe period integrals of automorphic forms and related representations of p-adic groups by using representation theoretic invariants.
Research Areas
Natural sciences, Algebra
Papers
Zeta functions and nonvanishing theorems for toric periods on GL(2)
Miyu Suzuki; Satoshi Wakatsuki
Tohoku Mathematical Journal, to appear, 2025, Peer-reviewed
Epsilon Dichotomy for Linear Models: The Archimedean Case
Miyu Suzuki; Hiroyoshi Tamori
International Mathematics Research Notices, 01 Jun. 2023, Peer-reviewed
Explicit mean value formula for periods and L-functions
Miyu Suzuki
Japan Europe Number Theory Exchange Seminar (JENTE), 09 Nov. 2021, Invited
Explicit mean values of toric periods and automorphic L-functions
Miyu Suzuki
Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy (at Centre International de Recontres Mathématiques (CIRM)), 26 May 2021, Invited
Explicit mean values of toric periods and automorphic L-functions
Miyu Suzuki
Séminaire Groupes, Algèbre et Géométrie (at University of Poitiers), 01 Apr. 2021, Invited
Linear periods and dichotomy
Miyu Suzuki
Friday Tea Time Zoom Seminar (FTTZS), 25 Sep. 2020, Invited
Prehomogeneous zeta functions and toric periods
Miyu Suzuki
Mini workshop on prehomogeneous vector spaces, 15 Sep. 2020, Invited
Prehomogeneous zeta functions and toric periods for inner forms of GL(2)
Miyu Suzuki
Peking Online International Number Theory Seminar (POINTS) (at Peking Universiry), 17 Jun. 2020, Invited
Representations of inner forms of GL(2n) and linear periods
Miyu Suzuki
Hokuriku Number Theory Seminar, 21 May 2020
Representations of inner forms of GL(2n) and linear periods
Miyu Suzuki
Joint Number Theory Seminar (at Kyoto University), 08 May 2020
Epsilon dichotomy for linear models for tempered representations
Miyu Suzuki
New Developments in Representation Theory of p-adic Groups (at The Mathematisches Forschungsinstitut Oberwolfach (MFO)), 01 Oct. 2019, Invited
On some distinguished representations and base change lift for unitary groups
Miyu Suzuki
Workshop on Shimura varieties, representation theory and related topics, 2019, (at Hokkaido University), 18 Jul. 2019, Invited
Quaternion distinguished representations and base change lift
Miyu Suzuki
Number Theory Workshop at Waseda University, 15 Mar. 2019, Invited
On some distinguished representations and unstable base change lift for unitary groups
Miyu Suzuki
Algebra and Number Theory Seminar (at The University of Arizona), 19 Feb. 2019, Invited
Quaternion distinguished representations and base change lift for unitary groups
Miyu Suzuki
East Asian Core Doctoral Forum on Mathematics (at Tohoku University), 09 Jan. 2019, Invited
Quaternion distinguished representations and base change for unitary groups
Miyu Suzuki
The 4th KTGU Mathematics Workshop for Young Researchers (at Kyoto University), 29 Sep. 2018, Invited
Quaternion distinguished representations and base change for unitary groups
Miyu Suzuki
Kanazawa number theory small conference (at Kanazawa University), 19 Jul. 2018, Invited
Quaternion distinguished representations and base change lift
Miyu Suzuki
Joint Number Theory Seminar (at Kyoto University), 06 Jul. 2018
A relative trace formula for quaternionic hermitian matrices