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2024

Classical theory of Partial Differential Equations & The Scalar Conservation Law

Mohamed MBEHOU

Summary: These notes are intended for first-year Master students. After having strengthened their knowledge on ordinary differential equations, students get in touch with partial differential equations and some of the methods and problems related to them. At the same time, it is hoped to strengthen the knowledge and skills of students in mathematical analysis. Learning basics techniques to solve first and second-order PDEs.

Sun. 03 Mar, 2024 → Sun. 17 Mar, 2024

Algebraic and Geometric Methods in Coding Theory.

Sudhir GHORPADE

Summary:  The course covered the following topics: 

Linear Codes associated to higher dimensional varieties:

Geometric approach to linear codes via the language of projective systems. The following specific classes of linear codes and some of their fundamental properties including determination of basic parameters will be discussed. 

  • Codes associated to Veronese varieties (Projective Reed-Muller Codes)
  • Grassmann codes
  • Schubert codes

Betti numbers of linear codes and matroids: 

Fri. 26 Jan, 2024 → Wed. 07 Feb, 2024