The Hakubi Project

6th

Recruit: Mar. 2014
Term: Apr. 2015 ～ Mar. 2020  The Map of Hakubi Researchers. 

Short Introduction

One of the most important themes in modern mathematics is the study of functions, called L-functions or zeta functions. The Riemann zeta function, for instance, is the most famous L-function. It is known that the knowledge of zeros of the Riemann zeta function is crucial to unravel a rather mysterious problem: how are prime numbers distributed? Besides prime numbers, we can define L-functions for various mathematical objects, enabling us to deduce their deep properties from analysis of the L-functions. Since Shunsuke was fascinated by L-functions while writing his thesis, he has been investigating L-functions mainly by analytic methods, but the study of L-functions involves a wide range of fields. In his Hakubi project, he will try to find a new aspect of the theory by studying L-functions also from both algebraic and geometric viewpoints.

Latest News

• Nov. 1, 2017

  Shunsuke Yamana published a paper titled as " Siegel series for skew Hermitian forms over quaternion algebras", in the Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg 87, 43-59, (2017).

• Nov. 1, 2017

  Shunsuke Yamana published a paper titled as "Twisted symmetric square L-functions and invariant trilinear forms, by Eyal Kaplan & Shunsuke Yamana", in the Mathematische Zeitschrift 285, 739-793 (2017).

• Nov. 1, 2017

  Shunsuke Yamana published a paper titled as "Local symmetric square L-factors of representations of general linear groups", in the Pacific Journal of Mathematics 286 no.1, 215-256 (2017).

• Aug. 26, 2015

  Shunsuke Yamana published "Periods of residual automorphic forms" in Journal of Functional Analysis.

• Aug. 26, 2015

  Shunsuke Yamana published "Poles of exterior cube L-functions for GL(6)" in Mathematische Zeitschrift.

• Aug. 26, 2015

  Shunsuke Yamana published "Periods of automorphic forms: the case of (GL(n+1)×GL(n),GL(n))" in Compositio Mathematica.