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Speaker:

Ade Irma Suriajaya
Affiliation:

Kyushu University/MPIM Bonn
Date:

Tue, 26/03/2024 - 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar In 1999 Katz and Sarnak conjectured that the distribution of low-lying zeros of L-functions in a family is similar to that of the eigenvalues of random matrices.

Recently, Sugiyama observed a new phenomenon occurring in a family of symmetric square L-functions attached to Hilbert modular forms, in which its symmetry

type changes from symplectic to a new type of density function which does not occur in the Katz-Sarnak Conjecture.

In this talk, I will introduce my recent result with Sugiyama which verifies this phenomenon in the case of Dirichlet L-functions.

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