Dr. Noé Bárcenas Torres

Centro de Ciencias Matemáticas

UNAM

Campus Morelia, Michoacán

Apartado Postal 61-3 (Xangari)

58089, Morelia, Michoacán México

+525556232860

E-Mail: barcenas (add "at"
matmor.unam.mx)

Teoría de Homotopía Equivariante/ Equivariant Homotopy Theory

Teoría K/ K-Theory

Análisis No-lineal/ Nonlinear Analysis

Nonlinearity, Proper Actions and Homotopy Theory., PhD thesis, Münster 2010

Mountain Pass Theorem with Infinite Symmetry. Osaka Journal Of Mathematics 53 (2016),331-350 .

(With M. Velasquez) Equivariant K-theory of Central Extensions and Twisted Equivariant K-Theory: Sl3Z and St3Z. Homotopy, Homology and its applications Vol. 18 (2016) 49-70

(With M. Velasquez) The completion theorem in Twisted Equivariant K-Theory for proper actions

(With P. Carrillo and M. Velasquez) Multiplicative Structures and the twisted Baum-Connes Assembly map. Trans. Amer. Math. Soc. 369 (2017), no. 7, 5241-5269.

Twisted Geometric K-homology for proper actions of discrete groups. Accepted for publication in Journal of Topology and Analysis.

(With Q. Morales-Melendez) Analytical Signatures and proper actions.

(With R. Zeidler) Positive scalar curvature and low-degree group homology.

Programa de Cómputo Científico del CCM PROCOCI2017.

CIMPA School on Noncommutative Geometry and Index Theory Noncommutative Geometry 2018.

Thematic Session of the Latin American Mathematician's Congress: Geometry, Topology, Interactions between Geometric Group Theory and Algebraic Topology. CLAM 2016.

Meeting on Topological K-theory and Noncommutative Geometry K-Theory.

Encuentro Nacional de Jovenes investigadores en México. ENJIM 2015.

II Reunión Matemáticos Mexicanos en el Mundo MMM2014.

Sección de Topología Algebraica. Congreso Nacional de la Sociedad Matemática Mexicana. Durango, México. October 26th to 31st, 2014. Congreso SMM

Taller de Vinculación Matemáticos Mexicanos en el mundo. Together with Fernando Galaz and Monica Moreno. CIMAT, August 22-24th, 2012.TVMMJM

In WS 2018 I am teaching "Topología Algebraica", basic course in the UNAM-UMSNH graduate program.

Topologia Algebraica

IN WS 2018 I am organizing the Seminar "Prospectos en Topología

Prospectos.

IN SS 2017 I am organizing the Seminar "Prospectos en Topología and teaching "Cohomologia, Clases Características y Variedades", advanced Course of the UNAM-UMSNH graduate program.

IN WS 2017 I am organizing the Seminar "Prospectos en Topología"

Prospectos.

In WS 2017 I am Teaching " Cohomolog\'ia, clases características y Variedades", Advanced Course of the UNAM-UMSNH graduate programm.

In SS 2016 I am organizing the Seminar "Prospectos en Topología

Prospectos.

In SS 2016 I am teaching "Topología Algebraica", basic course in the UNAM-UMSNH graduate program.

Topologia Algebraica

In WS 2016 I am organizing the Seminar "Prospectos en Topología

Prospectos.

In WS 2016 I am teaching "Topología Algebraica Aplicada", advanced course in the UNAM-UMSNH graduate program.

Topologia Algebraica Aplicada

In SS 2015 I am organizing the Research Seminar on Mapping Class Groups and Hyperbolicity

Hyperbolicity.

In SS 2015 I am organizing the Seminar "Prospectos en Topología"

Prospectos.

In WS 2015 I was organizing with Ariet Ramos and Alejandra Trujillo the Seminar "Prospectos in Topología "

Prospectos

In WS 2015 I was teaching "Topología Algebraica"

Basic course in the UNAM-UMSNH joint Graduate School in Mathematical Sciences.

In WS 2015 I was organizing the Research Seminar in Topology and Geometry in Morelia.

In SS 2014 I was organizing the Seminar "Prospectos in Topología "

Prospectos

In SS 2014 I was organizing the Research Seminar in Topology and Geometry in Morelia.

In SS2014 I was teaching "Teoría Geométrica de Grupos"

Advanced course in the UNAM-UMSNH joint Graduate School in Mathematical Sciences.

In WS 2013-2014, I Organized the UNAM Research Seminar with the topic "Teichmüller Theory and Classifying spaces"

"Teichmuller Theory"In SS 2013 I organized together with Alejandra Trujillo the Transcontinental Seminar Berlin-Bonn-UNAM, with the topic "Basics on Braid and Mapping Class Groups"

In WS 2012-2013 I Organized the Transcontinental Seminar Berlin-Bonn-UNAM a Videoconference-based seminar, this semester with the topic "Homotopy, Controlled Topology and Assembly"

In SS 2012, I organized (together with Daniel Juan, David Rosenthal and Mario Velasquez ) the Transcontinental Seminar Bogota-Bonn-UNAM, a Videoconference-based seminar, this semester with the topic Coarse Geometry and Assembly Maps Coarse Geometry

During WS 2011, I organized (together with Daniel Juan, Martin Fluch and Luis Jorge Sanchez ) the Transcontinental Seminar Bielefeld-Bonn-UNAM, a Videoconference-based seminar, this semester with the topic CAT(0)-geometry and classifying spaces Classifying Spaces.

In SS 2011 I organized the first edition of the Bonn-UNAM Transcontinental Seminar, with topic "controlled topology" Controlled Topology

In SS 2010 and WS 2010-2011, I organized together with the topology groups at UNAM campus Morelia and Cuernavaca, as well as members of the Topology group in Münster three Editions of the Transcontinental Seminar WWU Muenster-UNAM on Basic Algebraic K theory, homotopical and computational aspects of Assembly Maps and Geometric Group theory. Basic Algebraic K Theory. Geometric Group Theory.

Videos Selectos/ Selected Videos: Some remarks on Assembly maps from the homotopy theoretical point of view. Equivariant Assembly. Cayley Graphs and Presentations. Quasi-Isometric Rigidity of the integers. CAT(0)-spaces with prescribed boundary.