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[SAL] Homological and Combinatorial Properties of BCH Codes | Zafar Iqbal (NOVA Math, NOVA FCT)
[SAL] Homological and Combinatorial Properties of BCH Codes | Zafar Iqbal (NOVA Math, NOVA FCT)
16 June 2025 - 2:00 pm - 3:00 pm
Online seminar
Abstract: Coding theory, originated in the late 1940s, is driven by the need toensure reliable communication over noisy channels. Linearerror-correcting codes, in particular, became central to the fielddue to their algebraic structure and practical utility. These codescan be studied via combinatorial, algebraic, and geometric methods:to each code one associates a matroid from its generator orparity-check matrix, and the independent sets of the matroid define asimplicial complex whose Stanley–Reisner ring captures the code’scombinatorial structure. The Betti numbers of this ring encode keyinvariants of the code. Computing them is difficult in general, butthey reflect important parameters and offer new perspectives on thecode’s structure. In this talk, we will focus on the homologicalinvariants of certain families of BCH codes. BCH codes are regardedas one of the most useful codes in the theory of error-correctingcodes. Despite their prominence, basic properties such as dimensionand minimum distance remain unresolved in many cases. Timepermitting, we will discuss open problems such as Charpin’sconjecture regarding the minimum distance of primitive BCH codes.
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17
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18
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19
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20
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21
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22
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23
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[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
23 June 2025 - 27 June 2025 -
Venue: office XX, XX floor of the "Departamento de Engenharia Mecânica e Industrial (DEMI)" Building
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[CourseDataScience] Advanced Tensor Computation and Applications | Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[CourseDataScience] Advanced Tensor Computation and Applications | Khalide Jbilou (Université du Littoral Côte d'Opale, France)
23 June 2025 - 3:00 pm - 5:00 pm
NOVA FCT, Sala Ágora
Tensor computation extends the principles of linear algebra and numerical analysis to higher-dimensional data structures, allowing for efficient processing of complex data. Tensors play a central role in a variety of disciplines, from machine learning to scientific simulations. Tensors are among the most versatile and powerful mathematical tools available, with applications in many disciplines such as physics, computer science, engineering, graphs, and machine learning.
The mini-course is designed as a comprehensive introduction to tensors and their applications, bridging theory and practice. It seeks to demystify the subject for beginners while offering valuable insights for those with more advanced knowledge. Our focus is twofold:
Conceptual Understanding: By presenting tensors in a clear and accessible manner, we aim to equip the course attendees with a solid grasp of the core principles.
Practical Applications: With numerous examples and case studies, we plan to illustrate how tensors are used to address real-world challenges, from simulating physical systems to enabling breakthroughs in artificial intelligence.
Registration can be completed here.
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24
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[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
23 June 2025 - 27 June 2025 -
Venue: office XX, XX floor of the "Departamento de Engenharia Mecânica e Industrial (DEMI)" Building
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[CourseDataScience] Advanced Tensor Computation and Applications | Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[CourseDataScience] Advanced Tensor Computation and Applications | Khalide Jbilou (Université du Littoral Côte d'Opale, France)
24 June 2025 - 3:00 pm - 5:00 pm
NOVA FCT, Sala Ágora
Tensor computation extends the principles of linear algebra and numerical analysis to higher-dimensional data structures, allowing for efficient processing of complex data. Tensors play a central role in a variety of disciplines, from machine learning to scientific simulations. Tensors are among the most versatile and powerful mathematical tools available, with applications in many disciplines such as physics, computer science, engineering, graphs, and machine learning.
The mini-course is designed as a comprehensive introduction to tensors and their applications, bridging theory and practice. It seeks to demystify the subject for beginners while offering valuable insights for those with more advanced knowledge. Our focus is twofold:
Conceptual Understanding: By presenting tensors in a clear and accessible manner, we aim to equip the course attendees with a solid grasp of the core principles.
Practical Applications: With numerous examples and case studies, we plan to illustrate how tensors are used to address real-world challenges, from simulating physical systems to enabling breakthroughs in artificial intelligence.
Registration can be completed here.
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25
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[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
23 June 2025 - 27 June 2025 -
Venue: office XX, XX floor of the "Departamento de Engenharia Mecânica e Industrial (DEMI)" Building
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[SAn] Optimized Schwarz Methods: Challenges and Promises at Continuous and Algebraic Levels | Prof. Lahcen Laayouni (School of Science and Engineering, Al Akhawayn University)
[SAn] Optimized Schwarz Methods: Challenges and Promises at Continuous and Algebraic Levels | Prof. Lahcen Laayouni (School of Science and Engineering, Al Akhawayn University)
25 June 2025 - 2:15 pm - 3:15 pm
Room 4.6, Building VIII.
Seminarof Analysis
Speaker: Prof. Lahcen Laayouni (School of Science and Engineering, Al AkhawaynUniversity).
Date/time: 25/06/2025 (Wednesday), from 14:15 to 15:15.
Location: Room 4.6, Building VIII.
Title: Optimized Schwarz Methods: Challenges andPromises at Continuous and Algebraic Levels
Abstract: Optimized Schwarz methods are a class ofdomain decomposition techniques designed to improve the convergence ofiterative solvers for partial differential equations (PDEs) by imposingoptimized transmission conditions. This talk explores the challenges and promisesof these methods at both continuous and algebraic levels. At the continuouslevel, we address the design of effective transmission conditions, theirdependence on problem-specific parameters. At the algebraic level, we examinethe construction of algebraic block transmission conditions for robustpreconditioners. Through theoretical and numerical results, we show thepotential of optimized Schwarz methods to handle large-scale PDE problems.
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26
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[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
23 June 2025 - 27 June 2025 -
Venue: office XX, XX floor of the "Departamento de Engenharia Mecânica e Industrial (DEMI)" Building
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27
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[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
[VData Science & OR] Khalide Jbilou (Université du Littoral Côte d'Opale, France)
23 June 2025 - 27 June 2025 -
Venue: office XX, XX floor of the "Departamento de Engenharia Mecânica e Industrial (DEMI)" Building
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28
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29
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Conference on Theoretical and Computational Algebra 2025
Conference on Theoretical and Computational Algebra 2025
29 June 2025 - 4 July 2025 -
More information is available here.
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