Noé Bárcenas Torres

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)

Intereses Científicos/ Research interests:

• Teoría de Homotopía Equivariante/ Equivariant Homotopy Theory

• Teoría K/ K-Theory

• Análisis No-lineal/ Nonlinear Analysis

Publicaciones/ Publications, Preprints and ongoing Projects:

• , PhD thesis, Münster 2010

• Nonlinearity, Proper actions and equivariant cohomotopy.Pure and Applied Mathematics Quarterly. Volume 9, Number 3 387-416, 2013

• (With M. Velasquez) Twisted Equivariant K Theory and K Homology of of Sl3(Z). Algebraic and Geometric Topology 14 (2014) 823-852

• (with J. Espinoza, M. Joachim and B. Uribe. Universal Twist in equivariant K-Theory for Proper and Discrete Actions. Proceedings of the London Mathematical Society (3) , 108(5):1313-1350, 2014

• Equivariant Stable Homotopy theory for proper actions of Discrete Groups. Math. J.Okayama Univ. 56 (2014), 91-115

• Spaces over a category and Brown Representability. Revista Colombiana de Matemáticas Vol. 48(1),55-77 2014.

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

• (With J. Espinoza, B.Uribe, M. Velasquez) Segal's spectral Sequence in Twisted Equivariant K-Theory for Proper and Discrete Actions. Proc. Edinb. Math. Soc. (2) 61 (2018), no. 1, 121-150.

• (With D.Juan-Pineda and M. Velasquez) Bredon Cohomology, K theory and K-homology of pullbacks of groups.

• (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. Journal of Topology and Analysis, Vol. 12 (4) 1019-1040 (2020).

• (With P. Suarez-Serrato and D. Juan-Pineda). Topological Rigidity of Higher Graph Manifolds. Bol. Soc. Mat. Mex. (3) 23 (2017), no. 1, 119-127.

• (With D. Degrijse and I. Patchkoria) Stable Finiteness Properties of Infinite Discrete Groups. J. Topol. 10 (2017), no. 4, 1169-1196.

• (With Q. Morales-Melendez) Analytical Signatures and Proper Actions. Online first in Topological Methods in Nonlinear Analysis.

• (With R. Zeidler) Positive Scalar Curvature and low-degree Group Homology. Ann. K-Theory 3 (2018), no. 3, 565-579.

• (With J. Cantarero) A completion Theorem for Fusion Systems. Israel J. Math 236, 501-531 (2020).

• (With J. Núñez-Zimbrón) On the Borel Conjecture for Alexandrov Spaces. Rev. Mat. Iberoam. 37 (2021), no. 5, 1629-1639. .

• (With J. Hernández-Hernández and R. Chávez-Cáliz). A Probabilistic Approach to Exhaustion in the Infinite Genus Case

• (With J. Calles). The ideal-valued index of fibrations with total space a G2 flag manifold.

• (With J. Torres Orozco). Poisson cohomology of singular foliations in dimension 4.

• (With M. Sedano-Mendoza). Rigidity of actions on metric spaces close to three dimensional manifolds. Accepted in Proceedings of the Edinburgh Mathematical Society

• A Survey of computations of Bredon cohomology. Accepted in Contemporary Mathematics.

Conferencias Organizadas/ Organized Conferences:

Docencia/ Teaching:

• In 2024-2 I am teaching the Course "Cohomología, clases características y variedades."

• In 2024-2 I am teaching the Course " Property A, property T and the Baum-Connes Conjecture"

• In 2024-2 I am organizing together with Carlos Pérez Estrada the Seminar "Prospectos in Topología
  Prospectos.

• In 2024-1 I was organizing together with Carlos Pérez Estrada the Seminar "Prospectos in Topología
  Prospectos.

• In 2023-2 I was organizing together with Carlos Pérez Estrada the Seminar "Prospectos in Topología
  Prospectos.

• In 2023-2 I was teaching "The Baum connes conjecture for mapping class groups ", advanced course of the UNAM-UMSNH graduate program.

• In 2023-2 I was teaching "Algebraic Topology ", basic course of the UNAM-UMSNH graduate program.

• In 2022-2 I was organizing together with Carlos Pérez Estrada the Seminar "Prospectos in Topología
  Prospectos.

• In 2022-2 I was teaching "Large Scale Geometry of Big Mapping class Groups ", advanced course of the UNAM-UMSNH graduate program.

• In 2022-2 I was teaching "Topología Algebraica", basic course of the UNAM-UMSNH graduate program.

• In 2022-2 I was organizing together with Carlos Pérez Estrada the Seminar "Prospectos in Topología
  Prospectos.

• In 2022-1 I was teaching "Sucesiones espectrales", advanced course of the UNAM-UMSNH graduate program.

• In 2022-1 I was organizing together with Manuel Sedano the Seminar "Prospectos in Topología
  Prospectos.

• In 2020-2 I was teaching "Cohomología, clases carácterísticas y Variedades", advanced course of the UNAM-UMSNH graduate program.

• In 2020-2 I was organizing with Manuel Sedano and Jesús núñez the Seminar "Prospectos en Topología"

  Prospectos.

• In 2020-1 I was teaching "Algebraic Topology", basic course of the UNAM-UMSNH graduate program.

• In 2020-1 I was teaching "Herramientas avanzadas de Topología Algebraica", advanced Course of the UNAM-UMSNH graduate program.

• In 2020-1 I was organizing with Manuel Sedano the Seminar "Prospectos en Topología"

  Prospectos.

• In 2019-2 I was teaching "Cohomologia, Clases Características y Variedades", advanced Course of the UNAM-UMSNH graduate program.

• In 2019-2 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.

• In 2019-1 I was teaching "Topología Algebraica", basic course in the UNAM-UMSNH graduate program.

  Topologia Algebraica

• In 2019-1 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.

• In 2018-2 I was teaching "Temas Avanzados de Topología Algebraica", advanced course in the UNAM-UMSNH graduate program.

  Temas Avanzados

• In 2018-2 I was teaching "Suplemento de Matematicas",dual course in both the UNAM-UMSNH masters program and the Sustainable Material Science bachelor's degree in ENES-UNAM-Morelia

  Ciencia de Materiales Sustentables

• In 2018-1 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.

• In 2018-1 I was teaching "Topología Algebraica", basic course in the UNAM-UMSNH graduate program.

  Topologia Algebraica

• In WS 2018-1 I was organizing the Seminar "Prospectos en Topología "

  Prospectos.

• In 2017-2 I was organizing the Seminar "Prospectos en Topología" and teaching "Cohomologia, Clases Características y Variedades", advanced Course of the UNAM-UMSNH graduate program.

• IN 2017-2 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.

• In WS 2017-1 I was Teaching " Cohomolog\'ia, clases características y Variedades", Advanced Course of the UNAM-UMSNH graduate programm.

• In 2016-2 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.

• In 2016-2 I was teaching "Topología Algebraica", basic course in the UNAM-UMSNH graduate program.

  Topologia Algebraica

• In 2016-1 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.

• In 2016-1 I was teaching "Topología Algebraica Aplicada", advanced course in the UNAM-UMSNH graduate program.

  Topologia Algebraica Aplicada




• In 2015-2 I was organizing the Research Seminar on Mapping Class Groups and Hyperbolicity

  Hyperbolicity.




• In 2015-2 I was organizing the Seminar "Prospectos en Topología"

  Prospectos.




• In 2015-2 I was organizing with Ariet Ramos and Alejandra Trujillo the Seminar "Prospectos in Topología"

  Prospectos




• In 2015-1 I was teaching "Topología Algebraica"

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




• In 2015-1 I was organizing the Research Seminar in Topology and Geometry in Morelia.




• In 2014-2 I was organizing the Seminar "Prospectos in Topología "

  Prospectos




• In 2014-2 I was organizing the Research Seminar in Topology and Geometry in Morelia.




• In 2014-2 I was teaching "Teoría Geométrica de Grupos"

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

• In 2014-1, 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.