MS-EV0004 - Vertex operator algebras, Lectures, 28.10.2022-17.2.2023

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Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

Credits: 5

Schedule: 28.10.2022 - 17.02.2023

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Shinji Koshida

Contact information for the course (applies in this implementation):

Lecturer: Shinji Koshida (shinji.koshida@aalto.fi)

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • applies in this implementation

    This course introduces the theory of vertex operator algebras (VOA), both their structure and representation theory. VOA is a mathematical framework that gives an algebraic formulation of two-dimensional conformal field theory. VOAs also have application to a lot of fields of mathematics from geometry to number theory. One of the most prominent example is the moonshine phenomenon; a mysterious relationship between finite groups and modular forms. One or two of those applications will be discussed.

DETAILS

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Details on the schedule

  • applies in this implementation

    The lectures are held on Fridays in periods II and III. The first lecture will be on 28.10.

    • Time: 12-14
    • Place: M3 (Undergraduate center)

    The exercise sessions are held every two weeks on Fridays. The first session will be on 4.11.

    • Time: 14-16
    • Place: M3 (Undergraduate center) during period II, M2 (Undergraduate center) during period III

Rules of Conduct - Students´ Rights and Responsibilities (in force from 1 August 2020)

Aalto University Code of Academic Integrity and Handling Violations Thereof