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Enneper's surface: A minimal surface containing two straight lines
The surface has several complicated self-intersections, which can be
guessed in the figure. Although it is not evident at all, it contains
two straight lines.
The fact that it is a minimal surface means, intuitively, that
any slight modification of its shape increases its area.
The parametric equations of the surface are:
x(u,v)=u-u3/3+uv2
y(u,v)=-v-u2v+v3/3
z(u,v)=u2-v2
Academic
Forthcoming events
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In September, 2017, I will visit the Tōhō university
in Tokyo (Japan) again, to work on topics related to Computer Algebra Systems, Partial Differential Equations, and Hamiltonian systems.
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The 50th Congreso Nacional de la Sociedad Matemática Mexicana,
October 22-27 (2017), in Mexico City. I will deliver two talks, in the Mathematical Physics and in the Diferential Geometry sessions, respectively.
Past events
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The XXV CEDYA / XV CMA Congreso de Ecuaciones Diferenciales y Matemática Aplicada,
June 26-30 (2017), in Cartagena (Spain). I will deliver a couple of talks there, one in the Special Session on Mathematical
Physics, the other in the Teaching and Learning Session.
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The IV Congreso Conjunto RSME-SMM, June 19-22 (2017), in Valladolid (Spain).
I am co-organizer of the Special Session on Poisson and Symplectic
Geometries .
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In April, 2017, I will visit the Tōhō university
in Tokyo (Japan), to work on topics related to Computer Algebra Systems and Hamiltonian systems.
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The 21th Asian Technology Conference in Mathematics
(ATCM 2016), December 14-18 (2016), in Bangkok (Thailand).
I was an invited speaker.
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The 49th Congreso Nacional de la Sociedad Matemática Mexicana,
October 23-28 (2016), in Aguascalientes (Ags).
I delivered one of the plenary talks.
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The CSASC 2016 Joint Meeting, September 20-23 (2016), in Barcelona (Spain).
I gave a talk in the Differential Geometry and Mathematical Physics session.
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The V Congreso Latinoamericano de Matemáticas, July 11-15 (2016), in Barranquilla (Colombia).
I was an invited speaker in the Geometric structures in Mathematical Physics session.
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The 20th Asian Technology Conference in Mathematics
(ATCM 2015), December 16-20 (2015), in Leshan (China).
I was an invited speaker.
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The Encuentro Nacional de Jóvenes Investigadores en Matemáticas,
November 30-December 4 (2015), in the Instituto de Matemáticas UNAM (México).
I was an invited speaker.
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The 48th Congreso Nacional de la Sociedad Matemática Mexicana,
October 18-23 (2015), in Hermosillo (Sonora).
I was the chairman of the Mathematical Physics session.
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The IX Congreso de Ciencias Exactas, September 23-25 (2015), in Aguascalientes (Mexico).
I was an invited speaker there.
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Universidad Autónoma Metropolitana (unidad Azcapotzalco), February 10 (2015).
Coloquio Tlahuilcalli.
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Universidad de Castilla-La Mancha (campus Ciudad Real), January 29 (2015).
Jornadas CrC.
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Universidad de Zaragoza, January 22-23 (2015)
XVII Winter Meeting
on Geometry, Mechanics and Control Theory .
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Universidad Nacional Autónoma de México. Centro de Ciencias Matemáticas-Morelia,
December 11 (2014).
I gave a talk in the seminar of the Theoretical Physics Group, entitled Operadores
en la supervariedad de Koszul y corchetes de Poisson.
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Universidad Autónoma de Aguascalientes (2014)
Congreso de Ciencias Exactas.
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University of California-Berkeley, November 8-9.
Gone Fishing 2014 (Poisson meeting).
I gave a talk on Dirac structures, based on joint work with Yu. Vorobiev.
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Universidad Autónoma Metropolitana-Cuajimalpa, 3-5 September (2014).
VI Coloquio de Física Matemática.
I was a plenary speaker.
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Tercer encuentro conjunto SMM-RSME 2014.
Invited speaker in the "Física Matemática" section
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SMM 2013 XLVI Congreso nacional de la Sociedad Matemática Mexicana.
I was an invited speaker in the "Física Matemática" section
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Department of Applied Mathematics IV, Technical University of Catalonia (UPC).
I gave a seminar on normal forms and adiabatic invariants, October 7-9
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MCA 2013 Mathematical Congress of the Americas.
I gave an invited talk there about
Quillen superconnections and connections on supermanifolds, within the special session
"Noncommutative Geometry".
It was a very interesting meeting, and I learned a lot about the ins and outs of Noncommutative Geometry (some of the
leaders in the field were there!)
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Escuela
Conjunta de Verano UVEG-UASLP: Aplicaciones modernas de las Matemáticas. Universidad Autónoma
de San Luis Potosí, Facultad de Ciencias, 24 Junio - 5 Julio
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CSASC 2013 Joint Mathematical
Conference of the Catalan, Slovenian, Austrian, Slovak and Czech Mathematical Societies.
I gave a talk there about
Symplectic scalar curvatures on supermanifolds
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IV Taller GSD
Geometría y Sistemas Dinámicos 2013.
Departamento de Matemáticas, Universidad de Sonora.