SXD / TALKS

Talks
S. Xambó

Einstein i les matemàtiques (7.4.2025, CAT). Invited two-hour lecture in the course Albert Einstein i la Ciència i la Tècnica del segle XX of the Grau d'Enginyeria Industrial offereed by ETSEIB & DMAT of UPC.

Presentation of Memòria sobre Geometria Diferencial i Complexa, a translation into Catalan, with Agustí Reventós, of the 1973 Spanish original by Joan Girbau i Badó (1942-2024) (19.2.2025, CAT).

Kähler packages and their combinatorial significance (15.7.2024). Lecture at the CRM Exploratory Workshop —Interplays between algebra, combinatorics and proof formalization.
The discrete charms of Kähler Geometry (a view of June Huh's Kähler package). Lecture at 115AM: Algebraic and topological interplay of algebraic varieties. A Conference in Honor of the 60th Birthday of Enrique Artal and the 55th Birthday of Alejandro Melle (June 12-16, 2023). See a chronicle of this event at IMTech NL05, page 25.
The discrete charm of algebraic geometry (after June Huh). Seminari de Geometria Algebraica 2022/2023 (17.2.2023).
Is there a Science for AI? Part I and Part II (23.1.2023). Lectures at the UAB master's degree in Modelling for Science and Engineering.
Novel deep learning methodologies in Industrial and Applied Mathematics—An overview. Minisimposium 02515 at ICIAM 2023 Tokyo (August 20-25, 2023).
To ML and beyond ... Unfolding and Contexts, Aims and Topics, Speakers. 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics. Holon, Israel, 04-09 June 2023. Presentation of the Session To machine learning and beyond: data science in mathematics, physics and engineering.
Quantum algorithms. Seminar talk at the Cryptography & Graphs Research Group. University of Lleida, June 29, 2023.
Quantum models and applications. Seminar talk at the Cryptography & Graphs Research Group,. University of Lleida, April 19, 2023.
Einstein i les matemàtiques (3.3.2023, CAT). Invited talk in the IEC program Einstein i l'actualitat de les seves contribucions to commemorate Einstein's visit to Barcelona in 1923.

Artificial intelligences and Mathematics. IMTech-FME-CFIS Colloquium. November 9, 2022. Video (oration in CAT)
Geometric Algebra speaks Quantum Esperanto. ICACGA-2022. Denver, CO., October 2-5, 2022.
Spinning spinors with geometric algebra for one century and beyond. Slides of an invited lecture at ICACGA-2022 presented on October 4, 2022 (The link to the conference program, which used to be 'https://icacga.org/program/', does not work any more).
Algorithmic Learning (with mathematics inside). December 13, 2021. A seminar talk to the HPAI group of the BSC.
Imaginary, una simfonia matemàtica (CAT, with M. Udina and J. Guàrdia). This was a presentation of the FME/RSME exhibit Imaginary, a mathematical symphony to visiting groups, particularly of high schools. December 13, 2021.
Algorithmic Learning: Analysis, Algebra and Geometry. IMUVa Ateneo Lecture. November 12, 2021. The talk was announced with the title Perspectivas sobre el aprendizaje algorítmico y sus conexiones con el análisis, el álgebra y la geometría and was delivered in Spanish with slides in EN.
Mathematics ↔ Data Science: A Scientific debate. November 10, 2021. Introduction to a panel in the Conference New Bridges between Mathematics and Data Science held in the University of Valladolid in November 8-12, 2021.
Mathematical Aspects of Algorithmic Learning and Deep Neural Networks, with Joan Bruna. Graduate course imparted Ocober 21 to November 16, 2021 (24 hours, arranged in 12 sessions of 2 hours each). The slides of my lectures (SX) can be downloaded from that page. For convenience, here are alternative links:
1. Informal outline and some background topics and Convex optimization techniques. October 5, 2021.
2. Reproducing Kernel Hilbert Spaces October 13, 2021.
3. Gradient descent and stochastic approximation. October 14, 2021.
4. Training dynamics: lazy regime and Neural Tangent Kernel. October 19, 2021.
5. Differential Geometry: Backgrpound notions and Geometrical Physics Symmetries and Noether’s theorem. November 2, 2021.
6. Harmonic analysis. Wavelets. Graph spectral transforms. November 9, 2021.
La recerca en temps de la Covid-19 (passat, present i futur) (CAT). Participation in a panel organized by the Department of Mathematics of the UPC to talk about the research activities being carried on in times of Covid. November 11, 2020.
Multiplicar i dividir vectors (i altres ardides aventures) (CAT slides). Opening lecture of the term 2020/2021 of the Catalan Mathematical Society. Novembre 30, 2020.
Theoretical resources for deep learning (EN slides). Talk at the ICCA12 Mini Symposium on Geometric Calculi and Deep Learning: A long term relationship. August 4, 2020.
Two faces of P¹ and their ramifications (EN slides). Talk at the 5ª reunión anual de la red RGAS en memoria de José María Muñoz Porras (Salamanca, January 22-24, 2020).
WIT: A symbolic system for computations in IT and EG (programmed in pure Python), I and WIT: A symbolic system for computations in IT and EG (programmed in pure Python), II (EN slides, with the collaboration of Josep M. Miret and Narcís Sayols). A 5-hour doctoral course at IMUVA (January 13-17, 2020).
Post-quantum Cryptography (EN slides). Talk at the V Jornadas Doctorales del Programa de Doctorado en Matemáticas (UCA, November 19, 2019).
Geometric Algebra: Mathematical Structures and Applications (EN, slides). A 2-hour seminar at the UNED (3-4 October, 2019).
Talks at the ICIAM-2019 mini-symposium on Systems, Patterns and Data Engineering with Geometric Calculi: First talk (keynote), Geometric Calculus Techniques in Science and Engineering (EN slides); last two talks, in collaboration with Eduardo Ulises Moya, Geometric bio-inspired Deep Learning (EN slides). Geometric Calculus meets Deep Learning (EN slides).
Lluís A. Santaló Sors: Semblanza de un investigador (ES, 2019, pdf). Universidad Internacional Menéndez Pelayo. Celebración del XX aniversario de la "Summer Research School Luis Santaló" organizada por la Real Sociedad Matematica Española.

A Light Dream (EN, 2019, pdf). 2019 Interdisciplinary Colloquium in Topology and its Applications, Universidad de Vigo. Dedicated to Eusebio Corbacho and Elena Martín Peinador.
Talk at the BCAM Post-Quantum Cryptography Course (September 10-14, 2018): Decoding Alternant Codes (EN slides).
Two talks at the Special Session to the Memory of Waldyr Rodrigues Jr. in AGACSE 2018: Waldyr Alves Rodrigues Jr.: Annotations about his life track (EN slides; with the collaboration of Carlile Lavor and Samuel Wainer), and Fruits of a unifying philosophy (EN slides; with the collaboration of Samuel Wainer).
Computer algebra tales on Goppa codes and McEliece cryptography (EN slides). Talk at 24th Conference on ACA, Session on Computer Algebra in Coding Theory and Cryptography, 19 June 2018.
Alternant codes and the McEliece cryptosystem (EN slides). Talk to the Seminari de Teroria de Nombres on 7 October 2017 (Organized by STNB and C&G).
Error-correcting codes: mathematics and computations (EN slides). Talk to the Barcelona Algebraic Geometry Seminar on 5 May 2017.
Two-way bridges between Geometric Topology and Mathematical Physics (EN slides). Talk in the special session on Geometric Topology of the Congreso Bienal de la Real Sociedad Matemática Española 30.01-03.02, 2017 in honor of María Teresa Lozano Imízcoz.
Geometric Algebra Techniques in Mathematics, Physics and Engineering: CGA (EN slides). IMUVA, 19 May, 2016.
Dirac's equation seen in the GA light (EN slides). Talk in the Differential geometry and Mathematical Physics special session of the CSASC joint meeting (20-23 September 2016).

Geometric Algebra Techniques in Mathematics and Physics (ENG). Notes for a 10-hour course held and the Universidad Autónoma de San Luis Potosí (Mexico), 9-13 March 2015.

L'esfera i la llum des d'Arquimedes a Einstein (CAT). Lecture delivered on November 18, 2014, "festa de Sant Albert Magne", to the Bacherlor's degree "Enginyeria Física" of the ETSETB.

Missions d’un Homenot (CAT). Institut d'Estudis Catalans: Homenatge a Manuel Castellet Solanas. June 27, 2014.
Escondidas sendas de la geometría proyectiva a la física cuántica (A Juan Bautista Sancho Guimerá, in memoriam). Slides (ES). Simposio en memoria de Juan Bautista Sancho Guimerá, April 3-4, 2014, Salamanca.
Realities of Imaginary (EN and GER). Lecture at the MFO on the occasion of Director Prof. Dr. Gerhard Huisken taking office as successor of Prof. Dr. Gert-Martin Greuel. April 5, 2013. Here are some Notes related to the slides.
Procesamiento de patrones en Python (ES). Lecture in the BITYVIP Track (Scientific) of the Conference PyConEs-2013, Universidad Politécnica de Madrid, 23-24 de noviembre de 2013. Joint work with Gerard Roma.
El abecé de la computación cuántica (SPA). Ateneo Lecture at the Instituto de Investigación en Matemáticas, Universidad de Valladolid, 24.11.2013. Joint work with Juanjo Rué. Associated manuscript (EN).
Expectativas y experiencias (SPA). Ponencia para la mesa redonda Matemáticas y Universidad, retos en tiempos de crisis, Congreso RSME 21-25 de enero de 2013, Universidad de Santiago de Compostela.
Toward Multilingual Mechanized Mathematics Assistants. EACA 2012: XIII Encuentro de Álgebra Computacional y Aplicaciones, 13-15 June 2012, Alcalá de Henares (Spain). Slides.
Emili Elizalde: His Life and Work (An Outline). Cosmology, the Quantum Vacuum, and Zeta Functions: A workshop with a celebration of Emilio Elizalde's sixtieth birthday, organized by ICE/CSIC at the Universitat Autònoma de Barcelona, 8-10th March, 2010). This talk could not be delivered, due to the heavy snow storm in the Barcelona area on 8 March 2010, but it was the basis of the biographical paper Emili Elizalde. Perspectives on his life and work (see the Biographical studies page).
A mathematical view of quantum computation (09/October/2009, Quantum Computation and Information Seminar, Security and Quantum Information Group, Technical University of Lisbon)
A Clifford perspective on Klein's geometry (2/October/2009, Didactics of Mathematics as a Mathematical Discipline. Universidade da Madeira, Funchal, Portugal, 1-4 October, 2009)
A Structured and Comprehensive Package for Computations in Intersection Theory (06/January/2009, Special Session on Computational and Analytic Geometry (5-8 Jan, 2009) of the 2009 AMS/JMM in Washington DC.

19.1.2026
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