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Research Talks;Algebra;Dynamical Systems and Ordinary Differential Equations;Geometry;Topology

An endomorphism of a finitely generated free group naturally descends to an injective endomorphism on the stable quotient. We establish a geometric incarnation of this fact : an expanding irreducible train track map inducing an endomorphism of the fundamental group determines an expanding irreducible train track representative of the injective endomorphism of the stable quotient. As an application, we prove that the property of having fully irreducible monodromy for a splitting of a hyperbolic free-by-cyclic group G depends only on the component of the BNS invariant $\sum \left ( G \right )$ containing the associated homomorphism to the integers. In particular, it follows that if G is the mapping torus of an atoroidal fully irreducible automorphism of a free group and if the union of $\sum \left ( G \right ) $ and $\sum \left ( G \right )$ is connected then for every splitting of $G$ as a (f.g. free)-by-(infinite cyclic) group the monodromy is fully irreducible.
This talk is based on joint work with Spencer Dowdall and Christopher Leininger. An endomorphism of a finitely generated free group naturally descends to an injective endomorphism on the stable quotient. We establish a geometric incarnation of this fact : an expanding irreducible train track map inducing an endomorphism of the fundamental group determines an expanding irreducible train track representative of the injective endomorphism of the stable quotient. As an application, we prove that the property of having fully ...

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Documents 57Mxx | enregistrements trouvés : 67

Endomorphisms, train track maps, and fully irreducible monodromies Kapovich, Ilya | CIRM H Nouveau

Knot theory and its applications.ICTS programMohali # December 10-20, 2013 Gongopadhyay, Krishnendu ; Mishra, Rama | American Mathematical Society 2016 Nouveau

Séminaire N. Bourbaki.Vol. 2016-2017: exposés 1120 à 1123 Bourbaki, Nicolas | Ecole Normale Superieure;Secrétariat Bourbaki 2016 Nouveau

Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces.Conference in honor of Emilio BujalanceLinköping # June 24-28, 2013 Izquierdo, Milagros ; Broughton, S. Allen ; Costa, Antonio F. ; Rodriguez, Rubi E. | American Mathematical Society 2014 Nouveau

Geometry and topology down under:a conference in honour of Hyam RubinsteinMelbourne # july 11-22, 2011 Hodgson, Craig D. ; Jaco, William H. ; Scharlemann, Martin G. ; Tillmann, Stephan | American Mathematical Society 2013 Nouveau

Quantum information science and its contributions to mathematics.American mathematical society short courseWashington # january 3-4, 2009 Lomonaco, Samuel J. | American Mathematical Society 2010 Nouveau

Trends in representation theory of algebras and related topics:proceedings of the twelfth international conference on representations of algebras and workshop (ICRA XII)Torun # august 15-24, 2007 Skowronski, Andrzej | European Mathematical Society 2008 Nouveau

Geometric topology, discrete geometry, and set theory | MAIK Nauka/Interperiodica Publishing;Russian Academy of Sciences 2006 Nouveau

Séminaire Bourbaki. Vol. 1992/93 :exposés 760-774 | Société Mathématique de France 1993 Nouveau

Group theory, statistics, and cryptography :AMS special session combinatorial and statistical group theory held at New York University#April 12-13 Myasnikov, Alexei G. ; Shpilrain, Vladimir | American Mathematical Society 2004 Nouveau

Séminaire Bourbaki. Vol. 1990/91 :exposés 730-744 | Société Mathématique de France 1991 Nouveau

Groupes et géométrie :journée annuelle Boileau, Michel ; Masbaum, Gregor ; Pansu, Pierre | S.M.F. 2003 Nouveau

Computational and statistical group theory :AMS special session geometric group theory and computational groupe threory#April 21-22 and 28-29 Gilman, Robert ; Myasnikov, Alexei G. ; Shpilrain, Vladimir | American Mathematical Society 2002 Nouveau

Combinatorial and geometric group theory :AMS special session on ...#Nov. 4-5 and April 28-29 Cleary, Sean ; Gilman, Robert ; Myasnikov, Alexei G. | American Mathematical Society 2002 Nouveau

Laminations and foliations in dynamics, geometry and topology :proceedings of the conference on ... held at SUNY#May 18-24 Lyubich, Mikhail ; Milnor, John W. ; Minsky, Yair N. | American Mathematical Society 2001 Nouveau

Low dimensional topology :proceedings of the conference on ...#Jan. 12-17 Nencka, Hanna | American Mathematical Society 1999 Nouveau

Low dimensional topology :proceedings of the summer school on ... #Aug. 3-14 Böröczky, Karoly ; Neumann, Walter ; Stipsicz, András | János Bolyai Mathematical Society 1999 Nouveau

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Knot theory and its applications.
ICTS program
Mohali # December 10-20, 2013 Gongopadhyay, Krishnendu ; Mishra, Rama | American Mathematical Society 2016 Nouveau

Séminaire N. Bourbaki.
Vol. 2016-2017: exposés 1120 à 1123 Bourbaki, Nicolas | Ecole Normale Superieure;Secrétariat Bourbaki 2016 Nouveau

Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces.
Conference in honor of Emilio Bujalance
Linköping # June 24-28, 2013 Izquierdo, Milagros ; Broughton, S. Allen ; Costa, Antonio F. ; Rodriguez, Rubi E. | American Mathematical Society 2014 Nouveau

Geometry and topology down under:
a conference in honour of Hyam Rubinstein
Melbourne # july 11-22, 2011 Hodgson, Craig D. ; Jaco, William H. ; Scharlemann, Martin G. ; Tillmann, Stephan | American Mathematical Society 2013 Nouveau

Quantum information science and its contributions to mathematics.
American mathematical society short course
Washington # january 3-4, 2009 Lomonaco, Samuel J. | American Mathematical Society 2010 Nouveau

Trends in representation theory of algebras and related topics:
proceedings of the twelfth international conference on representations of algebras and workshop (ICRA XII)
Torun # august 15-24, 2007 Skowronski, Andrzej | European Mathematical Society 2008 Nouveau

Séminaire Bourbaki. Vol. 1992/93 :
exposés 760-774 | Société Mathématique de France 1993 Nouveau

Group theory, statistics, and cryptography :
AMS special session combinatorial and statistical group theory held at New York University#April 12-13 Myasnikov, Alexei G. ; Shpilrain, Vladimir | American Mathematical Society 2004 Nouveau

Séminaire Bourbaki. Vol. 1990/91 :
exposés 730-744 | Société Mathématique de France 1991 Nouveau

Groupes et géométrie :
journée annuelle Boileau, Michel ; Masbaum, Gregor ; Pansu, Pierre | S.M.F. 2003 Nouveau

Computational and statistical group theory :
AMS special session geometric group theory and computational groupe threory#April 21-22 and 28-29 Gilman, Robert ; Myasnikov, Alexei G. ; Shpilrain, Vladimir | American Mathematical Society 2002 Nouveau

Combinatorial and geometric group theory :
AMS special session on ...#Nov. 4-5 and April 28-29 Cleary, Sean ; Gilman, Robert ; Myasnikov, Alexei G. | American Mathematical Society 2002 Nouveau

Laminations and foliations in dynamics, geometry and topology :
proceedings of the conference on ... held at SUNY#May 18-24 Lyubich, Mikhail ; Milnor, John W. ; Minsky, Yair N. | American Mathematical Society 2001 Nouveau

Low dimensional topology :
proceedings of the conference on ...#Jan. 12-17 Nencka, Hanna | American Mathematical Society 1999 Nouveau

Low dimensional topology :
proceedings of the summer school on ... #Aug. 3-14 Böröczky, Karoly ; Neumann, Walter ; Stipsicz, András | János Bolyai Mathematical Society 1999 Nouveau