Dr. Juan Orendain
Becario de posdoctorado, parte del proyecto Quantum information Structure of Space Time
Centro de Ciencias Matemáticas CCM,
Universidad Nacional Autónoma de México UNAM. Campus Morelia.
jorendain[at]matmor.unam.mx
Intereses
Teoría de categorías y sus aplicaciones a las siguientes áreas
Perfiles online
Publicaciones/preprints
- Free globularly generated double categories II: The canonical double projection. Cahiers de topologie et géometrie différentielle catégoriques Vol. LXII (2021) Issue 3. pp 243-302 Preprint vers. Journal vers
- Free globularly generated double categories I. Theory and Applications of Categories Vol. 34 No.42, pp 1343-138. Preprint vers. Journal vers.
- Lifting bicategories into double categories: The globularly generated condition. Theory and Applications of Categories, Vol. 34, No. 4, pp 80-108. Preprint vers. Journal vers.
- Combinatorial dimensions: Indecomposability of certain local trivial extension algebras. Journal of Algebra an Applications, 13, No. 06. Preprint vers. Journal vers.
- On direct sum decompositions of Krull-Schmidt artinian modules. Journal of Algebra and Applications, 13, No. 03. Preprint vers. Journal vers.
- Lifting bicategories through the Grothendieck construction. Preprint vers.
- Cylinder topological quantum field theory: A categorical presentation of classical field theory and its symmetries. Preprint vers.
- A note on the existence of essential indecomposable submodules of Ore domains. Preprint vers.
En preparación
- Equivariant quantum field theory in the Amplitude Formalism: Categorical diffeomorphism invariance and coherence data, c/ Robert Oeckl.
- Enriched equivariant theories in the General Boundary Formulation. c/ Robert Oeckl.
- One-sided chain conditions on universal Kumjian-Pask algebras, c/ Daniel Goncalves and Johan Öinert.
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Higher categorical perspectives in lattice gauge theory, c/ José Antonio Zapata.
Enseñanza
2021-1: Introducción a la teoría de categorías [Página del curso]
Lista de cursos anteriores
Pláticas recientes
- 2021: Length 1 double categories via End-indexings. Special session on cateogries and topology, MCA2021 Buenos Aires. Argentina. Slides.
- 2021: Open Petri nets and symmetric monoidal double categories. [In Spanish] Petri nets reading seminar. Slides.
- 2021: How long does it take to frame a bicategory. New York City category theory seminar. Video. Slides.
- 2021: The rate equation and the master equation for stochastic Petri nets. Petri nets reading seminar. Slides.
- 2021: Operational semantics for Petri nets as commutative monoidal categories. Petri Nets reading seminar. Slides.
- 2020: Remarks on the bicategory of von Neumann algebras. UFSC C*-algebras seminar. UFSC. Brasil. Slides. Video.
- 2020: Categorías dobles de álgebras de von Neumann. Segundo cíclo de conferencias. Facultad de Ciencias UNAM. Slides. Video.
- 2020: Globularly generated double categories. MIT categories seminar. Massachusets Institute of Technology. US. Slides. Video.
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2020: Double categories of factors. Noncommutative Geometry Seminar en University of Copenhagen. Dinamarca. Slides.
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2020: Formal Haagerup standard form on infinite index morphisms of factors. Groups, Operators, and Banach Algebras Webinar. Lancaster University. UK. Slides.
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2020: Internal categories of factors. Zagreb Workshop on Operator Theory. University of Zagreb. Zagreb, Croacia. Slides. Video.
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2020: Formal Haagerup standard form on infinite index morphisms of factors. Canadian Operator Symposium, Fields Institute, Canada. Slides
Seminarios
Organizador del Seminario de categorías UNAM
Recursos
Recursos en teoría de categorías aplicadas
Gracias por la visita
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