主 题: The KZ/Hitchin connection
报告人: Prof. Ramads T. R (ICTP, 意大利)
时 间: 2007-09-21 下午 2:00 - 3:00
地 点: 理科一号楼 1114(数学所活动)
Given a Riemann surface $X$, a moduli space $M_X$ of vector
bundles on $X$, and a theta line bundle $\\Theta_X$ on $M_X$, sections of
$\\Theta_X$ are called "generalised theta functions". If $X$ varies in a
family, the space of these functions spreads out to give a vector bundle
on the parameter space of the family. This vector bundle carries a flat
projective connection. The algebro-geometric version was described by
Hitchin. I give an introduction to this connection, and discuss the
question of its unitarity.
