## Speaker:

Haseo Ki

## Institution:

Yonsei University, Korea

## Time:

Tuesday, February 3, 2015 - 2:00pm to 3:00pm

## Host:

## Location:

RH340P

The strong multiplicity one in automorphic representation theory says that if two

automorphic cuspidal irreducible representations on $\text{GL}_n$ have isomorphic

local components for all but a finite number of places, then they are isomorphic. As

the analog of this, the strong multiplicity one for the Selberg class conjectures

that for functions $F$ and $G$ with $F(s) = \sum_{n=1}^\infty a_F(n)n^{-s}$ and

$G(s) = \sum_{n=1}^\infty a_G(n)n^{-s}$ in this class, if $a_F(p)=a_G(p)$ for all

but finitely many primes $p$, then $F=G$. In this article, we prove this

conjecture.