TALKS · SEMINARS · CONFERENCES
Talks & Events
Talks, seminars, and conference appearances
This page brings together recordings, upcoming dates, and program material from talks, seminars, workshops, and conferences. My presentations cover several topics in global and geometric analysis. A group of three 2026 appearances — the July workshop, the August seminar, and the 59th SMM Congress in October — share a developing lecture on Sobolev spaces on vector bundles and quasilinear elliptic equations; other talks and future appearances may concern different themes.
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One current lecture thread
\[ W^{1,p}(M,E)\quad\longrightarrow\quad (\nabla^E)^*\!\left(A(\nabla^E u)\right)=f(u) \]
bundles · traces · compactness · variational methods
Upcoming
21OCT 2026
59th SMM Congress
11:00–11:30 · Differential Geometry · Room B5
Sobolev Spaces on Vector Bundles and Quasilinear Elliptic Equations on Manifolds with Boundary
Speaker: Carlos Daniel Velázquez Mendoza
Coauthors: Romulo Diaz Carlos and María de los Ángeles Sandoval Romero.
27JAN 2027
TAGFM 2027 · School Talk 5
11:30–12:00 · Wednesday, January 27
Topic to be announced. The workshop runs January 25–29, 2027.
Calendar
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My scheduled talk Multi-day event Past 2026 appearance
Latest recording
Seminar “Analysis, everywhere, all at once 🪿”
August 27, 2026 · 16:00 · Faculty of Sciences, UNAM
This is the most recent complete recording currently available online of the Sobolev-spaces lecture shared by the July, August, and October 2026 appearances.
Event details
WEDNESDAY · OCTOBER 21, 2026 · 11:00–11:30
59th National Congress of the Mexican Mathematical Society
Sobolev Spaces on Vector Bundles and Quasilinear Elliptic Equations on Manifolds with Boundary
Carlos Daniel Velázquez Mendoza
Coauthors: Romulo Diaz Carlos and María de los Ángeles Sandoval Romero
The talk presents Sobolev spaces on vector bundles, including density, Sobolev embeddings, and trace operators on Riemannian manifolds with boundary, followed by a variational application to quasilinear elliptic equations. The framework includes the \(p\)-Laplacian, the \((p,q)\)-Laplacian, and prescribed mean-curvature type equations.
Session
Differential Geometry
Room
B5
Talk ID
8448
Time
11:00–11:30
JANUARY 25–29, 2027 · MY TALK: JANUARY 27 · 11:30–12:00
Taller de Análisis Geométrico, Funcionales y Medidas 2027
The workshop brings together minicourses, plenary talks, and school presentations in geometric analysis, functional analysis, and measure theory. I am scheduled for School Talk 5 on Wednesday, January 27 from 11:30 to 12:00. The topic is still to be announced.
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Program snapshots
Modern Techniques in Riemannian Geometry 2026
TAGFM 2027
Earlier talks
2026 · Seminar on Mathematical Analysis and Applications
El teorema de Meyers–Serrin en variedades riemannianas
Department of Mathematics, Faculty of Sciences, UNAM.
2025 · Diálogos Virtuales de Análisis y Geometría (DIVAGEO)
El teorema de traza en variedades riemannianas con geometría acotada
Virtual seminar organized by the Department of Mathematics, Faculty of Sciences, UNAM.
2024 · 57th National Congress of the Mexican Mathematical Society
Espacios de Sobolev en variedades riemannianas · Universidad Juárez del Estado de Durango, Durango, Mexico.
2024 · 57th National Congress of the Mexican Mathematical Society
Espacios de Sobolev en variedades riemannianas y el teorema de Rellich-Kondrashov · Universidad Juárez del Estado de Durango, Durango, Mexico.