# ALGEBRAIC TOPOLOGY SEMINAR

We meet on Thursdays from 15:00 to 16:30 in the upstairs classroom at CIMAT Mérida.

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 a reading seminar about algebraic geometry for topologists.

Organizers: José Cantarero and Bernardo Villarreal. Emails: cantarero (at) cimat.mx and bernardo.villarreal (at) cimat.mx

**Next seminar:**

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

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 |

**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 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 |

CIMAT's Algebraic Topology Seminar 2012-2014

Stanford's Topology Progress Seminar 2010-2012

UBC's Learning Seminar in Topology 2006