主 题: 从共形场论,D膜到新几何。
报告人: 孔良 教授(清华大学)
时 间: 2010-10-29 14:00-15:00
地 点: 理科一号楼1114(数学所活动)
I will start with a discussion on the impact of string theory on
mathematics. I will argue that string theory demands an entirely a new
geometry or new calculus where CFT and D-branes play crutial roles. Then I
will introduce a mathematical framework inspired by Segal and the theory of
vertex operator algebra to study open-closed CFT. Both the mathematical
definitions of CFT and D-brane will be given. In the rational cases, I will
show that such open-closed CFTs can be classified. Using this
classification, I will discuss some basic properties of the new
geometrysuch as Holographic Principle and a precise relation between
dualities and invertible defects.