ncku-talk2013-07-01

NCTS(South) Seminar

DATE 2013-07-01　16:00-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Sean Lawton （Department of Mathematics, The University of Texas-Pan American）

TITLE Topology and Irreducibility of Character Varieties of Abelian Groups

ABSTRACT Let G be a reductive algebraic group over the complex numbers, and let A be a finitely generated Abelian group. We first prove that the GIT quotient Hom(A,G)//G is homotpic to the orbit space Hom(A,K)/K where K is a maximal compact subgroup of G. As a corollary, we classify the semisimple groups G so Hom(A,G)//G is irreducible. This is joint work with Carlos Florentino.

NCTS(South) Seminar

DATE	2013-07-01　16:00-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Sean Lawton （Department of Mathematics, The University of Texas-Pan American）

TITLE	Topology and Irreducibility of Character Varieties of Abelian Groups

ABSTRACT	Let G be a reductive algebraic group over the complex numbers, and let A be a finitely generated Abelian group. We first prove that the GIT quotient Hom(A,G)//G is homotpic to the orbit space Hom(A,K)/K where K is a maximal compact subgroup of G. As a corollary, we classify the semisimple groups G so Hom(A,G)//G is irreducible. This is joint work with Carlos Florentino.