# ALGEBRAIC TOPOLOGY SEMINAR

We meet on Wednesdays from 11:30 to 13:00 in room C3 at the department of mathematics of the Universidad Autónoma de Yucatán.

Participation in this seminar is open to students, researchers and professors. Please, contact the organizers if you are interested. This term's seminar will be about homological techniques in commutative algebra.

Organizer: José Cantarero. Email: cantarero (at) cimat.mx

**Next seminar:**

Date | Speaker | Title |
---|---|---|

May 22nd, 2024 | Bernardo Villarreal | Local cohomology |

**Previous seminars (click on each topic to unfold/fold details):**

**Persistent homology**, September 2015-March 2016

Date | Speaker | Title |
---|---|---|

September 18th, 2015 | José Cantarero | Introduction to persistent homology |

September 21st, 2015 | José Cantarero | Introduction to persistent homology II |

October 5th, 2015 | Sharon Yazel Pam Pech | Persistent homology for filtered complexes |

October 15th, 2015 | Arfaxard Sánchez Estrella | Structure and representations of persistent homology |

October 26th, 2015 | Isabel Hernández | Persistence diagrams |

November 9th, 2015 | María Fernanda Delfín Ares de Parga | Algorithms for computing persistent homology |

November 19th, 2015 | José Cantarero | Algorithms for persistent homology revisited |

November 23rd, 2015 | José Cantarero | Algorithms for persistent homology revisited II |

December 1st, 2015 | René Israel García Lara | Persistent Morse homology |

December 7th, 2015 | José Cantarero | The relationship between the spectral sequence of a filtration and its persistent homology |

January 18th, 2016 | Saray Pool Domínguez | Persistent homology for fractal structures |

January 25th, 2016 | José Cantarero | Detecting features with persistent homology |

February 5th, 2016 | José Cantarero | Detecting features with persistent homology II |

February 15th, 2016 | Luis Jorge Sánchez | The Whitehead group of the Hilbert modular group |

February 22nd, 2016 | René Israel García Lara | Measuring shape with topology |

February 29th, 2016 | René Israel García Lara | Measuring shape with topology II |

March 7th, 2016 | José Cantarero | The topology of evolution |

**Topological K-theory**, April 2016-June 2017

Date | Speaker | Title |
---|---|---|

April 18th, 2016 | Margarita Martínez | Operations on vector bundles |

April 29th, 2016 | Margarita Martínez | Operations on vector bundles II |

May 2nd, 2016 | Arfaxard Sánchez | The Grothendieck construction and the K functor |

May 9th, 2016 | José Cantarero | Some properties of vector bundles |

May 16th, 2016 | Sharon Pam | From principal bundles to vector bundles |

May 23rd, 2016 | Sharon Pam | From principal bundles to vector bundles II |

June 3rd, 2016 | José Cantarero | The classification of vector bundles |

June 6th, 2016 | José Cantarero | The classification of vector bundles II |

June 13th, 2016 | José Cantarero | The Bott bundle |

June 20th, 2016 | Israel García | Representability by Fredholm operators |

June 27th, 2016 | Israel García | Representability by Fredholm operators II |

August 22nd, 2016 | José Cantarero | Last term's summary |

August 29th, 2016 | Antonio González | Fusion systems for groups, actions and representations |

September 5th, 2016 | Saray Pool | K-theory as a cohomology theory |

September 12th, 2016 | José Cantarero | Bott periodicity |

September 19th, 2016 | José Cantarero | Bott periodicity II |

October 3rd, 2016 | Israel García | Characteristic classes |

October 10th, 2016 | Israel García | Characteristic classes II |

October 17th, 2016 | José Cantarero | Characteristic classes III |

October 31st, 2016 | José Cantarero | Characteristic classes IV |

November 7th, 2016 | María Fernanda Delfín Ares de Parga | The Grothendieck-Riemann-Roch theorem |

November 11th, 2016 | María Fernanda Delfín Ares de Parga | The Grothendieck-Riemann-Roch theorem II |

November 14th, 2016 | Noé Bárcenas | The mathematics behind and after the Nobel prize in physics 2016 |

November 28th, 2016 | Eduardo Ibarguengoytia | Coadjoint orbits and symplectic forms |

December 5th, 2016 | José Cantarero | Complex structures on spheres |

January 25th, 2017 | Sean Taylor | Perverse sheaves on toric varieties |

February 8th, 2017 | José Cantarero | Representability of K-theory |

February 15th, 2017 | José Cantarero | Representability of K-theory II |

February 22nd, 2017 | Pedro Luis del Ángel | Towards a representation theory for algebraic groups |

March 1st, 2017 | Arfaxard Sánchez | Algebraic K-theory and the Serre-Swan theorem |

March 8th, 2017 | Arfaxard Sánchez | Algebraic K-theory and the Serre-Swan theorem II |

March 15th, 2017 | Bárbara Gutiérrez | Robotic topology: Topological complexity |

March 22nd, 2017 | José Cantarero | Twistings in cohomology |

March 29th, 2017 | Harom May | Real vector bundles and KO-theory |

April 5th, 2017 | Israel García | Topology of Fermi surfaces |

April 26th, 2017 | Jesús González | Motion planning and generalized Hopf invariants |

May 3rd, 2017 | Rogelio Pérez | Grothendieck topologies and rigid geometry |

May 11th, 2017 | Rogelio Pérez | Grothendieck topologies and rigid geometry II |

May 17th, 2017 | Francisco López | The dynamics of solenoidal homeomorphisms |

May 24th, 2017 | José Cantarero | Twisted K-theory |

May 31st, 2017 | José Cantarero | Twisted K-theory II |

June 7th, 2017 | José Cantarero | The Eilenberg-Ganea theorem/conjecture and Whitehead's conjecture |

June 14th, 2017 | Bárbara Gutiérrez | The Thom isomorphism |

June 22nd, 2017 | Enrique Becerra | The notion of stack in differential geometry |

**Representation theory in algebraic topology**, August-December 2017

Date | Speaker | Title |
---|---|---|

August 23rd, 2017 | José Cantarero | Connections between representation theory, algebraic topology and commutative algebra. An introduction |

August 30th, 2017 | José Cantarero | The spectrum of the representation ring |

September 13th, 2017 | José Cantarero | Derived localization |

September 20th, 2017 | José Cantarero | Derived localization II |

September 27th, 2017 | Arfaxard Sánchez | Transfer maps for finite transporter categories |

October 11th, 2017 | Alffer Hernández | Fibrations and cofibrations in the category MAP |

October 25th, 2017 | Ángel Jiménez | Semicoverings of topological groups |

November 8th, 2017 | Arfaxard Sánchez | The cohomology of blocks of finite groups |

November 15th, 2017 | José Cantarero | The loop space of the p-completion of a classifying space I |

November 22nd, 2017 | José Cantarero | The loop space of the p-completion of a classifying space II |

November 29th, 2017 | José Cantarero | Quillen's conjecture |

December 6th, 2017 | José Cantarero | Quillen's conjecture II |

December 13th, 2017 | José Cantarero | Factoring Bott's map |

**Infinity categories**, January-December 2018

Date | Speaker | Title |
---|---|---|

January 24th, 2018 | José Cantarero | What is an infinity-category? |

January 31st, 2018 | José Cantarero | What is an infinity-category? II |

February 7th, 2018 | Sharon Pam | The fundamental groupoid |

February 14th, 2018 | Sharon Pam | The fundamental groupoid II |

February 28th, 2018 | Arfaxard Sánchez | Enriched categories |

March 7th, 2018 | Arfaxard Sánchez | Enriched categories II |

March 21st, 2018 | Ángel Jiménez | Introduction to simplicial sets |

April 11th, 2018 | Jorge Alberto Sánchez | G-fibrant extensions |

April 18th, 2018 | Luis Jorge Sánchez | Classifying spaces and Hilbert's modular group |

May 2nd, 2018 | José Cantarero | Kan complexes |

May 16th, 2018 | José Cantarero | Kan complexes II |

May 23rd, 2018 | José Cantarero | Kan complexes III |

June 6th, 2018 | José Cantarero | Constructions with infinity-categories |

June 13th, 2018 | José Cantarero | Introduction to stable homotopy |

June 20th, 2018 | José Cantarero | Introduction to stable homotopy II |

June 27th, 2018 | José Cantarero | Limits and colimits |

July 4th, 2018 | José Cantarero | Limits and colimits II |

July 11th, 2018 | José Cantarero | Higher limits and colimits |

July 18th, 2018 | José Cantarero | Higher limits and colimits II |

July 25th, 2018 | José Cantarero | Homology and cohomology of categories |

August 1st, 2018 | José Cantarero | Geometric realization and simplicial homology |

August 8th, 2018 | José Cantarero | Vector fields on spheres |

October 10th, 2018 | José Cantarero | Infinity-categories and categorical constructions |

October 17th, 2018 | José Cantarero | Infinity-categories and categorical constructions II |

October 31st, 2018 | Ángel Jiménez | Homotopy limits and colimits |

November 7th, 2018 | José Cantarero | Homotopy limits and colimits II |

November 14th, 2018 | José Cantarero | Homotopy limits and colimits III |

November 28th, 2018 | José Cantarero | Spaces of homomorphisms to Lie groups |

December 5th, 2018 | Noé Bárcenas | Topological rigidity of Alexandrov spaces |

**Homological stability**, January-May 2019

Date | Speaker | Title |
---|---|---|

January 23rd, 2019 | José Cantarero | An introduction to homological stability and representation stability |

January 30th, 2019 | José Cantarero | Homological stability of symmetric groups |

February 6th, 2019 | José Cantarero | Homological stability of symmetric groups II |

February 13th, 2019 | Ángel Jiménez | Representations of symmetric groups |

February 20th, 2019 | Ángel Jiménez | Representations of symmetric groups II |

February 27th, 2019 | José Cantarero | Homological stability of symmetric groups III |

March 6th, 2019 | José Cantarero | The complex of injective words |

March 13th, 2019 | José Cantarero | Homological stability for unordered configuration spaces |

March 20th, 2019 | Arfaxard Sánchez | Introduction to FI-modules |

March 27th, 2019 | Andrés Pedroza | Floer Lagrangian homology of the Clifford torus
in the projective space blown-up at a point |

April 3rd, 2019 | Arfaxard Sánchez | Introduction to FI-modules II |

April 10th, 2019 | José Cantarero | Homological stability for unordered configuration spaces II |

May 9th, 2019 (C4, 9:30-10:30) | Luis Hernández | Banach's isometric problem in dimension 4k+2 |

May 22nd, 2019 | José Cantarero | Homological stability for unordered configuration spaces III |

**Introduction to algebraic topology**, June-August 2019

Date | Speaker | Title |
---|---|---|

June 5th, 2019 | José Cantarero | Introduction to homology |

June 14th, 2019 | José Cantarero | Introduction to homology II |

June 19th, 2019 | José Cantarero | Some applications of the fundamental group |

June 26th, 2019 | José Cantarero | Some applications of the fundamental group II |

July 3rd, 2019 | José Cantarero | Some applications of the fundamental group III |

July 17th, 2019 | José Cantarero | Some applications of the fundamental group IV |

July 24th, 2019 | José Cantarero | Singular homology and degree of maps |

July 30th, 2019 | José Cantarero | Jordan curve theorem and Poincaré duality |

July 31st, 2019 | Chi-Kwong Fok | Twisted K-theory and extended Verlinde algebra |

August 14th, 2019 | Omar Antolín | How far is SU(2) from being abelian? |

**Stable homotopy theory**, August-December 2019

Date | Speaker | Title |
---|---|---|

August 21st, 2019 | José Cantarero | An introduction to stable homotopy |

August 28th, 2019 | José Cantarero | Prespectra in the sense of Adams |

September 4th, 2019 | José Cantarero | Functions, maps and homotopies for prespectra |

September 11th, 2019 | José Cantarero | The homotopy category of spectra |

September 18th, 2019 | Víctor A. Torres | The stable homotopy category |

September 25th, 2019 | José Cantarero | Inverting the suspension |

October 2nd, 2019 | José Cantarero | Inverting the suspension II |

October 18th, 2019 | Juan Omar Gómez | The stable module category |

October 23th, 2019 | José Cantarero | Localization with respect to weak equivalences |

October 30th, 2019 | José Cantarero | Spectrification |

November 6th, 2019 | José Cantarero | Spectrification II |

November 15th, 2019 | José Cantarero | Cofiber and fiber sequences |

November 20th, 2019 | Juan Omar Gómez | Lewis' impossibility theorem |

November 27th, 2019 | Érika Roldán | Two geometric problems in extremal topological combinatorics |

December 4th, 2019 | José Cantarero | The handicrafted smash product |

December 11th, 2019 | José Cantarero | The handicrafted smash product II |

**Model categories**, January-March 2020

Date | Speaker | Title |
---|---|---|

January 22nd, 2020 | José Cantarero | Introduction to model categories |

January 29th, 2020 | José Cantarero | Hurewicz' cofibrations and fibrations |

February 5th, 2020 | José Cantarero | Cylinders and path objects |

February 12th, 2020 | José Cantarero | The homotopy category I |

February 19th, 2020 | Víctor Torres | Whitehead's theorem and simplicial sets |

February 26th, 2020 | Víctor Torres | Simplicial sets and the geometric realization |

March 4th, 2020 | Juan Omar Gómez | A model structure for the stable module category |

March 11th, 2020 | José Cantarero | Homotopy for simplicial sets |

**Endotrivial modules and stable homotopy of classifying spaces**, August-December 2020

Date | Speaker | Title |
---|---|---|

August 19th, 2020 | Juan Omar Gómez | An introduction to stable categories, endopermutation modules
and endotrivial modules. |

August 26th, 2020 | Víctor Torres | Introduction. Cohomology of compact Lie groups |

September 2nd, 2020 | Juan Omar Gómez | The classification of endotrivial modules for p-groups |

September 9th, 2020 | Víctor Torres | Discrete approximation for p-toral groups |

September 16th, 2020 | José Cantarero | Endotrivial modules for finite groups |

September 23rd, 2020 | Víctor Torres | Bousfield localization for spectra |

September 30th, 2020 | Juan Omar Gómez | Tate-Farrell-Ikenaga cohomology and groups of type Phi |

October 14th, 2020 | José Cantarero | The Segal conjecture I |

October 14th, 2020 | Juan Omar Gómez | Stable categories and endotrivial modules for groups of type Phi |

October 21st, 2020 | Víctor Torres | The Segal conjecture II |

November 4th, 2020 | José Cantarero | Complexes of groups |

November 4th, 2020 | Víctor Torres | Stable decompositions |

November 11th, 2020 | Juan Omar Gómez | Endotrivial modules for triangles of groups |

November 11th, 2020 | José Cantarero | An introduction to topological K-theory |

November 18th, 2020 | José Cantarero | p-compact groups |

November 25th, 2020 | Juan Omar Gómez | Endotrivial modules for discrete p-toral groups |

December 2nd, 2020 | José Cantarero | Tannaka-Krein duality |

December 9th, 2020 | Jorge Gaspar | K-theory and fusion-invariant representations |

December 9th, 2020 | José Cantarero | Decompositions of fusion-invariant representations |

December 16th, 2020 | Víctor Torres | Stable characterization of p-local finite groups |

**Classic articles in algebraic topology**, January-June 2021

Date | Speaker | Title |
---|---|---|

January 13th, 2021 | José Cantarero | A manifold which does not admit any differentiable structure |

January 20th, 2021 | José Cantarero | A manifold which does not admit any differentiable structure II |

January 27th, 2021 | José Cantarero | Every path-connected space has the homology of a K(G,1) |

February 3rd, 2021 | José Cantarero | Every path-connected space has the homology of a K(G,1) II |

February 10th, 2021 | Juan Omar Gómez | Finiteness conditions for CW-complexes |

February 17th, 2021 | Juan Omar Gómez | Finiteness conditions for CW-complexes II |

February 24th, 2021 | Jérôme Scherer | A classification theorem for fibre spaces |

March 3rd, 2021 | Jérôme Scherer | A classification theorem for fibre spaces II |

March 10th, 2021 | Víctor Torres | Prerequisites on equivariant stable homotopy for Carlsson's lecture |

March 17th, 2021 | Víctor Torres | Prerequisites on equivariant stable homotopy for Carlsson's lecture II |

March 24th, 2021 | José Cantarero | Equivariant K-theory and completion |

April 14th, 2021 | José Cantarero | Equivariant K-theory and completion II |

April 21st, 2021 | Alffer Hernández | Deligne's model for differential cohomology |

April 28th, 2021 | Alffer Hernández | Deligne's model for differential cohomology II |

May 12th, 2021 | Higinio Serrano | The geometry of iterated loop spaces |

May 19th, 2021 | Higinio Serrano | The geometry of iterated loop spaces II |

May 26th, 2021 | José Cantarero | Periodic resolutions for finite groups |

June 2nd, 2021 | Nestor Colin Hernández | Characteristic classes of surface bundles |

June 9th, 2021 | José Cantarero | Periodic resolutions for finite groups II |

June 16th, 2021 | Gustavo Navarrete | Fibering manifolds over a circle |

June 23rd, 2021 | Arfaxard Sánchez | Categories and cohomology theories |

June 30th, 2021 | Arfaxard Sánchez | Categories and cohomology theories II |

**Characteristic classes**, August-December 2021

Date | Speaker | Title |
---|---|---|

August 18th, 2021 | José Cantarero | Introduction to characteristic classes |

August 25th, 2021 | José Cantarero | Stiefel-Whitney classes |

September 1st, 2021 | Jesús Rodríguez | Grassmann manifolds and universal bundles |

September 8th, 2021 | Gustavo Navarrete | A cell structure for Grassmann manifolds |

September 15th, 2021 | Margarita Martínez | The cohomology ring of the infinite Grassmann manifold |

September 22nd, 2021 | Higinio Serrano | Existence of Stiefel-Whitney classes |

September 29th, 2021 | Juan Omar Gómez | Oriented bundles and the Euler class |

October 6th, 2021 | Víctor Torres | The Thom isomorphism theorem |

October 13th, 2021 | José Cantarero | Computations in a smooth manifold |

October 20th, 2021 | Jorge Gaspar | Obstructions |

October 27th, 2021 | José Cantarero/Alffer Hernández | Some comments/Chern classes I |

November 3rd, 2021 | Alffer Hernández | Chern classes II |

November 17th, 2021 | Jesús Rodríguez | Pontrjagin classes |

November 24th, 2021 | Gustavo Navarrete | Chern numbers and Pontrjagin numbers |

December 1st, 2021 | Margarita Martínez | The oriented cobordism ring |

December 8th, 2021 | Higinio Serrano | Thom spaces and transversality |

December 15th, 2021 | Juan Omar Gómez | Multiplicative sequences and the signature theorem |

December 15th, 2021 | Víctor Torres | Combinatorial Pontrjagin classes |

**Research groups**, January-June 2022

Date | Speaker | Title |
---|---|---|

January 27th, 2022 | 1) Noé Bárcenas 2) José Cantarero 3) Jesús Rodríguez |
1) A loose end in Atiyah-Segal's completion theorem for equivariant twisted Real K-theory for infinite discrete groups 2) Schmid's conjecture 3) Computation of the three-dimensional invariant of contact structures |

February 1st, 2022 | Group meeting 1 | N/A |

February 8th, 2022 | Group meeting 2 | N/A |

February 9th, 2022 | Bernardo Villarreal | The classifying space for commutativity of a group |

February 15th, 2022 | Group meeting 3 | N/A |

February 22nd, 2022 | Group meeting 4 | N/A |

March 1st, 2022 | Group meeting 5 | N/A |

March 8th, 2022 | Group meeting 6 | N/A |

March 15th, 2022 | Group meeting 7 | N/A |

March 22nd, 2022 | Group meeting 8 | N/A |

March 29th, 2022 | Group meeting 9 | N/A |

April 5th, 2022 | Group meeting 10 | N/A |

April 26th, 2022 | Group meeting 11 | N/A |

April 28th, 2022 | Daniel Juan | Groups and their representations |

May 3rd, 2022 | Group meeting 12 | N/A |

May 10th, 2022 | Group meeting 13 | N/A |

May 17th, 2022 | Group meeting 14 | N/A |

May 24th, 2022 | Group meeting 15 | N/A |

May 30th, 2022 | Group meeting 16 | N/A |

June 7th, 2022 | Group meeting 17 | N/A |

June 14th, 2022 | Group meeting 18 | N/A |

June 21st, 2022 | Group meeting 19 | N/A |

June 30th, 2022 | 1) Noé Bárcenas' team: Ángel Jiménez Samuel Restoy Higinio Serrano 2) José Cantarero's team: Jaime Calles Omar Gómez Gustavo Ortega 3) Jesús Rodríguez' team: Margarita Martínez Gustavo Navarrete Sebastián Zapata |
1) A loose end in Atiyah-Segal's completion theorem for equivariant twisted Real K-theory for infinite discrete groups 2) Schmid's conjecture 3) Computation of the three-dimensional invariant of contact structures |

**Sullivan's conjecture**, August-December 2022

Date | Speaker | Title |
---|---|---|

August 15th, 2022 | José Cantarero | An introduction to Sullivan's conjecture |

August 22nd, 2022 | Bernardo Villarreal | Steenrod operations |

August 29th, 2022 | Guille Carrión | The Adem relations |

August 31st, 2022 | Pablo Rosero | A triangulation for the associahedron |

September 5th, 2022 | Juan Omar Gómez | Homological algebra for non-abelian categories |

September 12th, 2022 | José Cantarero | Admissible monomials and free unstable modules |

September 14th, 2022 | Isaac Ortigoza | The symmetrical topological complexity of the torus |

September 19th, 2022 | Bernardo Villarreal | The cohomology of an elementary abelian p-group is injective |

September 26th, 2022 | Higinio Serrano | Unstable algebras over the Steenrod algebra |

October 3rd, 2022 | Jérôme Scherer | The Frobenius morphism and finiteness conditions |

October 10th, 2022 | Gustavo Ortega | Injective unstable modules |

October 17th, 2022 | Victor Antonio Torres Castillo | Lannes' T-functor |

October 24th, 2022 | Alffer Hernández | E infinity algebras |

October 31st, 2022 | Jaime Calles | The Eilenberg-Moore spectral sequence and the image of cohomology under the T-functor |

November 7th, 2022 | Jérôme Scherer | Profinite spaces and p-adic homotopy theory |

November 14th, 2022 | Jaime Calles | The p-completion of spaces and the Bousfield-Kan spectral sequence |

November 21st, 2022 | Higinio Serrano | Atomicity |

November 23rd, 2022 | Paul Quispe | The Casacuberta-Dicks conjecture under certain conditions |

November 28th, 2022 | Bernardo Villarreal | Sullivan's conjecture and the p-profinite completion |

**Research groups**, January-June 2023

Date | Speaker | Title |
---|---|---|

January 25th, 2023 | 1) Waldemar Barrera 2) José Cantarero 3) Bernardo Villarreal |
1) The Gromov-Hausdorff hyperspace for hyperbolic spaces 2) Equivariant invariants of spaces of commuting tuples 3) The property of simple commutators |

February 1st, 2023 | Group meeting 1 | N/A |

February 8th, 2023 | Group meeting 2 | N/A |

February 15th, 2023 | Group meeting 3 | N/A |

February 22nd, 2023 | Group meeting 4 | N/A |

February 23rd, 2023 | José Cantarero | Uniqueness of factorization of fusion-invariant representations |

March 1st, 2023 | Group meeting 5 | N/A |

March 8th, 2023 | Group meeting 6 | N/A |

March 9th, 2023 | Bernardo Villarreal | The second homotopy group of the classifying
space for commutativity |

March 15th, 2023 | Group meeting 7 | N/A |

March 22nd, 2023 | Group meeting 8 | N/A |

March 23rd, 2022 | Gabriel Longatto | Thom isomorphisms in K-theory |

March 29th, 2023 | Group meeting 9 | N/A |

March 30th, 2023 | Juan Omar Gómez | The Picard group of the stable module category for infinite groups |

April 19th, 2023 | Group meeting 10 | N/A |

April 26th, 2023 | Group meeting 11 | N/A |

May 3rd, 2023 | Group meeting 12 | N/A |

May 10th, 2023 | Group meeting 13 | N/A |

May 17th, 2023 | Group meeting 14 | N/A |

May 24th, 2023 | Group meeting 15 | N/A |

May 30th, 2023 | Group meeting 16 | N/A |

June 2nd, 2023 | Christopher Zaragoza | H-spaces and Hopf algebras |

June 7th, 2023 | Group meeting 17 | N/A |

June 7th, 2023 | Mario Fuentes | Introduction to classical and modern rational homotopy theory I |

June 14th, 2023 | Group meeting 18 | N/A |

June 14th, 2023 | Mario Fuentes | Introduction to classical and modern rational homotopy theory II |

June 21st, 2023 | Group meeting 19 | N/A |

June 28th, 2023 | 1) Waldemar Barrera's team: Roberto Balcázar Christopher Zaragoza 2) José Cantarero's team: José María Castilla José Luis León 3) Bernardo Villarreal's team: Juan Omar Gómez Victor Torres |
1) The Gromov-Hausdorff hyperspace for hyperbolic spaces 2) Equivariant invariants of spaces of commuting tuples 3) The property of simple commutators |

**A practical introduction to algebraic topology**, July-August 2023

Date | Speaker | Title |
---|---|---|

July 5th, 2023 | Mario Fuentes | Deformations and homotopy |

July 14th, 2023 | José Cantarero | Loops in a space and the fundamental group |

July 19th, 2023 | Mario Fuentes | Triangulations and homology |

July 26th, 2023 | José Luis León | Discrete Morse theory |

August 2nd, 2023 | José Cantarero | The degree of maps between spheres |

August 9th, 2023 | Bernardo Villarreal | CW-complexes and homotopy groups |

August 16th, 2023 | Luis Chan | Fundamental groups of knot complements |

**Algebraic geometry for topologists**, September-December 2023

Date | Speaker | Title |
---|---|---|

September 7th, 2023 | José Cantarero | Introduction. Algebraic and affine varieties |

September 21st, 2023 | José Cantarero/Bernardo Villarreal | Projective varieties/Irreducibility |

September 28th, 2023 | Bernardo Villarreal | Grassmanians, morphisms and irreducibility |

October 5th, 2023 | José Luis León | Products of varieties, separateness and complete varieties |

October 12th, 2023 | José Luis León/Mario Fuentes | Products of varieties, separateness and complete varieties/Chow's lemma and blowups |

October 17th, 2023 | Mario Fuentes | Chow's lemma and blowups |

October 31st, 2023 | José Cantarero | Sheaves on varieties |

November 9th, 2023 | Bernardo Villarreal | Schemes and morphisms between schemes |

November 16th, 2023 | Ramón Flores | Baum-Connes for affine groups |

December 6th, 2023 | Jaime García | Ranks of the second and third homotopy groups of the spaces of commuting n-tuples in SU(m) |

December 7th, 2023 | Bernardo Villarreal / José Luis León | Morphisms between schemes / Properties of schemes and morphisms |

December 11th, 2023 | Bruno Cisneros | Virtual braids: topological and combinatorial problems |

December 11th, 2023 | José María Castilla | The Bieri-Neumann-Strebel invariant |

**Homological techniques in commutative algebra**, January 2024-??

Date | Speaker | Title |
---|---|---|

January 24th, 2024 | José Cantarero | Introduction |

January 31st, 2024 | José Cantarero | Projective and injective dimension of modules |

February 7th, 2024 | José María Castilla | Global dimension of rings |

February 14th, 2024 | José María Castilla | Global dimension of rings II |

February 21st, 2024 | José Luis León | The Quillen-Suslin theorem |

February 23rd, 2024 | Adrián Meza | Kaplansky's conjectures for the group ring |

February 28th, 2024 | José Luis León | The Quillen-Suslin theorem II |

March 6th, 2024 | José Cantarero | Weak dimensions for modules and rings |

March 13th, 2024 | José Cantarero | More properties of flat modules |

March 20th, 2024 | José Cantarero | Regular local rings |

April 17th, 2024 | Leonardo Canche | Koszul complexes and Koszul duality |

April 22nd, 2024 | Josué Maldonado | Stone duality and its applications in tensor-triangulated categories |

April 24th, 2024 | Leonardo Canche | Koszul complexes and Koszul duality II |

May 8th, 2024 | Víctor King | Depth of modules |

May 16th, 2024 | Víctor King | Depth of modules II |

May 22nd, 2024 | Bernardo Villarreal | Local cohomology |

May 29th, 2024 | TBA | TBA |

CIMAT's Algebraic Topology Seminar 2012-2014

Stanford's Topology Progress Seminar 2010-2012

UBC's Learning Seminar in Topology 2006