# Langlands functoriality and the inverse problem in Galois theory

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Gordon Savin, University of Utah
IAS - Simonyi Hall Seminar Room SH-101

In a couple of recent works with C. Khare and M. Larsen we contruct finte groups of Lie type $B_n$, $C_n$ and $G_2$ as Galois groups over rational numbers. The method combines some established, special cases of the functoriality principle with $l$-adic representations attached to self-dual automrophic representations of $GL(n)$.