Courses and Seminars

Course

Gráficas en superficies, polinomios y 3-variedades

Spanish

José Carlos Gómez Larrañaga; José Luis León Medina

42 sesiones grabadas.

Otros expositores: Fabiola Manjarrez, Gilberto Calvillo, Fernando Galaz García, Jesús Rodríguez Viorato, José Frías, Vinicio Gómez

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Temario

  1. Gráficas en superficies
  2. Algunos polinomios: Tutte, Penrose y Bollobás-Riordan
  3. Diagramas y descomposiciones de Heegaard de 3-variedades
  4. Invariantes polinomiales de 3-variedades

Referencias

  1. Ellis-Monaghan, J.A.; Moffatt, I. Graphs on Surfaces: Dualities, Polynomials, and Knots. SpringerBriefs in Mathematics. Springer, New York, NY (2013).
  2. Hempel, J. 3-Manifolds. Princeton University Press, Princeton, NJ (1976).
  3. Fomenko, A.T.; Matveev, S.V. Algorithmic and Computer Methods for 3-Manifolds. Kluwer Academic Publishers (1997).
  4. Frías, José; Gómez-Larrañaga, José Carlos; León-Medina, José Luis; Manjarrez-Gutiérrez, Fabiola. 3-manifolds polynomials. Reporte preliminar (2025).
  5. Schultens, Jennifer. Introduction to 3-Manifolds. Graduate Studies in Mathematics, Volume 151, AMS (2017).
  6. Sitio de apoyo del curso: https://joseleonm.github.io/grafos-en-superficies/

Talk

Tri-genus of 3-manifolds, 2-Stratifolds and 3-Manifold Polynomials

English

José Carlos Gómez Larrañaga

Talk presented as part of the conference "International Knot Congress 2025". In honor of the 80th birthday of Louis H. Kauffman.

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Talk

Topología Aplicada al análisis de Datos.

Spanish

José Carlos Gómez Larrañaga

Plática impartida en la celebración del aniversario XV del IPICYT. Mayo 2015.

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