Advanced topics in mathematics 7

lmat2935  2022-2023  Louvain-la-Neuve

Advanced topics in mathematics 7
5.00 credits
30.0 h
Q2

This biannual learning unit is being organized in 2022-2023
Teacher(s)
Bieliavsky Pierre;
Language
English
Prerequisites
Depending on the subject, mathematics skills at the level of the end of the Bachelor in Mathematics or first year Master in Mathematics.
Main themes
The topic considered varies from year to year depending on the research interests of the course instructor.
Learning outcomes

At the end of this learning unit, the student is able to :

1 Contribution of the course to learning outcomes in the Master in Mathematics programme. By the end of this activity, students will have made progress in:
  • Show evidence of independent learning.
  • Analyse a mathematical problem and suggest appropriate tools for studying it in depth.
  • Begin a research project thanks to a deeper knowledge of one or more fields and their problematic issues in current mathematics. He will have made progress in:
    • Develop in an independent way his mathematical intuition by anticipating the expected results (formulating conjectures) and by verifying their consistency with already existing results.
    • Ask relevant and lucid questions on an advanced mathematical topic in an independent manner.
Learning outcomes specific to the course.
The course aims to initiate research in the field under consideration. Specific learning outcomes vary depending on the field.
 
Content
Introduction to symplectic geometry and to methods of quantization: geometric quantization, deformation quantization, pseudo-differential analysis and microlocal analysis.
Teaching methods
Oral lectures.
Evaluation methods
Oral exam.
Online resources
Written notes, in english, on Moodle.
Faculty or entity
MATH


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Master [120] in Mathematics
MATH2M
5