Affine vertex algebras at admissible and almost admissible levels 短课程
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：Drazen Adamovic (University of Zagreb)
：2024-03-14 ——2024-03-19
：厦门大学海韵园实验楼105报告厅
1.主讲人 Speaker
Professor Drazen Adamovic (University of Zagreb)
2. 短课程介绍 Introduction
Lecture 1: Affine vertex algebras and their categories of modules
We shall recall basic definitions of vertex algebras, affine Kac-Moody Lie algebras and universal affine vertex algebras. We define the category KL, the category O and the weight category of modules for affine vertex algebras. We propose some basic problems about the representation theory in these categories.
Lecture 2. Admissible and almost admissible affine vertex algebras
We define the admissible representations of affine Lie algebras and present basic representation theory of admissible vertex algebras. We also define the almost admissible levels and study examples of vertex algebras at these levels.
Lecture 3. Inverse quantum Hamiltonian reduction
We present recent free field realizations of affine vertex algebras by using a new concept called the inverse Quantum Hamiltonian Reduction. We discuss realization of relaxed highest weight modules and logarithmic modules.
Lecture 4. The parafermion vertex algebras at admissible levels
We present the structure of the parafermion vertex algebras at admissible levels and show how the inverse Quantum Hamiltonian Reduction can be used for studying these vertex algebras.
3. 授课时间 Schedule
Time | Description |
03/14 Thursday 9:00-11:30 am | Lecture 1: Affine vertex algebras and their categories of modules |
03/15 Friday 9:00-11:30 am | Lecture 2: Admissible and almost admissible affine vertex algebras |
03/18 Monday 9:00-11:30 am | Lecture 3: Inverse quantum Hamiltonian reduction |
03/19 Tuesday 9:00-11:30 am | Lecture 4: The parafermion vertex algebras at admissible levels |
4. 授课地点 Place
厦门大学海韵园实验楼105
Room 105 at Experiment Building at Haiyun Campus
5. 联系人 Contact
叶老师，0592-2580036，tymath2@xmu.edu.cn
