“The abelianization of automorphism groups of right-angled Artin groups”<\/p>\n
Automorphism groups of right-angled Artin groups form an interesting class of groups, as they interpolate between the two extremal cases of Aut(F_n) and GL(n,Z). In this talk we will discuss some conditions on a simplicial graph which imply that the automorphism group of the associated right-angled Artin group has (in)finite abelianization. As a direct consequence, we obtain families of such automorphism groups that do not have Kazhdan’s property (T). This is joint work with Conchita Martinez-Perez.<\/p>\n
“Coherence and fundamental groups of complex surfaces.”<\/p>\n
A group is called coherent if all its finitely generated subgroups are finitely presented. I will describe a theorem due to Kapovich which provides a criterion for the fundamental group of a complex surface to be (in)coherent. Based on this criterion, we prove that certain Dehn fillings of non-uniform complex hyperbolic lattices are incoherent.<\/p>\n
“Outer space for right-angled Artin groups.”<\/p>\n
Automorphism groups of right-angled Artin groups generalize both GL(n,Z) and Out(F_n). Together with Ruth Charney we are developing an \u201couter space\u201d which generalizes both the symmetric space for GL_n and the Outer space of a free group. I will discuss the current state of this project.<\/p>\n","protected":false},"excerpt":{"rendered":"
University College London, 03\/09\/2015 Javier Aramayona “The abelianization of automorphism groups of right-angled Artin groups” Automorphism groups of right-angled Artin groups form an interesting class of groups, as they interpolate between the two extremal cases of Aut(F_n) and GL(n,Z). In this talk we will discuss some conditions on a simplicial graph which imply that the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":["post-49","page","type-page","status-publish","entry"],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages\/49","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/comments?post=49"}],"version-history":[{"count":3,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages\/49\/revisions"}],"predecessor-version":[{"id":69,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages\/49\/revisions\/69"}],"wp:attachment":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/media?parent=49"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}