Dr. Ching Hung Lam | On the Classification of holomorphic vertex operator algebras of central

Описание: Speaker: Dr Ching Hung Lam (Academia Sinica)
Date: 16th Jun 2017 - 10:00 to 11:00
Venue: INI Seminar Room 1
Title: On the Classification of holomorphic vertex operator algebras of central charge 24
Event: (OASW03) Subfactors, K-theory and conformal field theory
Abstract: In 1993, Schellekens obtained a list of possible Lie algebra structures for the weight one subspaces of holomorphic vertex operator algebras (VOA) of central charge 24. It was also conjectured that the VOA structure of a holomorphic VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one space. Recently, all 71 cases in Schellekens' list have been constructed. In this talk, we will discuss the recent progress on the classification of holomorphic vertex operator algebras of central charge 24. In particular, we will discuss the construction of holomorphic VOAs using various types of orbifold constructions. A technique, which we call ``Reverse orbifold construction", will also be discussed. This technique may be used to prove the uniqueness of holomorphic VOAs of central charge 24 if the weight one subspace is not zero.
-------------------

FOLLOW US
🌐| Website: https://www.newton.ac.uk
🎥| Main Channel:    / @isaacnewtoninstitute  
🐦| Twitter:   / newtoninstitute  
💬| Facebook:   / newton.institute  
📷| Instagram:   / isaacnewtoninstitute  
🔗| LinkedIn:   / isaac-newton-institute-for-mathematical-sc...  

SEMINAR ROOMS
🥇| INI Seminar Room 1:    / @iniseminarroom1  
🥈| INI Seminar Room 2:    / @iniseminarroom2  
🛰️| INI Satellite Events:    / @inisatellite  

ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.

👉 Learn more about us and our events here: https://www.newton.ac.uk