Study programme 2019-2020Français
Unification of Fundamental Interactions
Programme component of Master's in Mathematics : Research Focus à la Faculty of Science

Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what assessment methods are planned for the end of Q3

CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-M2-MATHFA-018-MOptional UEBOULANGER NicolasS827 - Physique de l'Univers, Champs et Gravitation
  • BOULANGER Nicolas
  • CAMPOLEONI Andrea

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Anglais
Anglais, Français30000066.001st term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-PHYS-046Unification of Fundamental Interactions300000Q1100.00%
Programme component

Objectives of Programme's Learning Outcomes

  • Have integrated and elaborate mathematical knowledge.
    • Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
  • Carry out major projects.
    • Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
    • Give constructive criticism on the quality and progress of a project.
    • Work in teams and, in particular, communicate effectively and with respect for others.
    • Appropriately use bibliographic resources for the intended purpose.
    • Present the objectives and results of a project orally and in writing.
  • Apply innovative methods to solve an unprecedented problem in mathematics or within its applications.
    • Mobilise knowledge, and research and analyse various information sources to propose innovative solutions targeted unprecedented issues.
  • Communicate clearly.
    • Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
    • make a structured and reasoned presentation of the content and principles underlying a piece of work, mobilised skills and the conclusions it leads to.
    • Have sufficient knowledge of English for basic scientific communication.
  • Skill 6: Have acquired professional skills in relation to the objective defining the degree.
    • Have gained expertise and specialised knowledge in a field of mathematics in order to enter fully into the world of research.
    • Demonstrate intuition and creativity to tackle new mathematical problems.
    • Expose high-level mathematical results to a specialised audience.
  • Have integrated and elaborate mathematical knowledge.
    • Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
    • Use prior knowledge to independently learn high-level mathematics.
    • Research mathematical literature in an efficient and relevant way.
    • Read research articles in at least one discipline of mathematics.
  • Carry out major projects.
    • Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
    • Give constructive criticism on the quality and progress of a project.
    • Work in teams and, in particular, communicate effectively and with respect for others.
    • Appropriately use bibliographic resources for the intended purpose.
    • Present the objectives and results of a project orally and in writing.
  • Carry out major projects.
    • Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
    • Give constructive criticism on the quality and progress of a project.
    • Work in teams and, in particular, communicate effectively and with respect for others.
    • Appropriately use bibliographic resources for the intended purpose.
    • Present the objectives and results of a project orally and in writing.
  • Communicate clearly.
    • Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
    • make a structured and reasoned presentation of the content and principles underlying a piece of work, mobilised skills and the conclusions it leads to.
    • Have sufficient knowledge of English for basic scientific communication.
  • Adapt to different contexts.
    • Have developed a high degree of independence to acquire additional knowledge and new skills to evolve in different contexts.
    • Critically reflect on the impact of mathematics and the implications of projects to which they contribute.
    • Demonstrate thoroughness, independence, creativity, intellectual honesty, and ethical values.

Learning Outcomes of UE

Show how gauge theories provide a good mathematical framework of the unification of fundamental interactions.

Content of UE

Content Gauge theory. Quantum electrodynamics, Yang-Mills lagrangian, electroweak model, spontaneously broken symmetries. Historic of the fermions and weak interactions. Quantum chromodynamics lagrangian. Grand unification model: SU(5).

Teaching in English.

Prior Experience

Quantum Field Theory I and II

Type of Assessment for UE in Q1

  • Presentation and/or works
  • Oral examination

Q1 UE Assessment Comments

None

Type of Assessment for UE in Q3

  • Presentation and/or works
  • Oral examination

Q3 UE Assessment Comments

None

Type of Resit Assessment for UE in Q1 (BAB1)

  • Presentation and/or works

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-PHYS-046
  • Cours magistraux

Mode of delivery

AAMode of delivery
S-PHYS-046
  • Face to face

Required Reading

AA
S-PHYS-046

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-PHYS-046R. Barbieri, "Lectures on the ElectroWeak Interactions", Springer (2007);
W. Greiner and B. Müller, "Gauge theory of weak interactions", Springer (2009).

Recommended Reading

AA
S-PHYS-046

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-PHYS-046None

Other Recommended Reading

AAOther Recommended Reading
S-PHYS-046None

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
S-PHYS-046Authorized
(*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term
Date de génération : 13/07/2020
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