主 题: Ray-Singer conjecture for manifolds with conical singulariy
报告人: Prof. DAI Xianzhe (Univ. of California at Santa Barbara)
时 间: 2011-06-17 14:00-15:00
地 点: 理科一号楼1114（数学所活动）
The Ray-Singer conjecture concerns Reidemeister torsion and analytic
torsion. Reidemeister torsion is introduced by Reidemeister in the 30\'s to
classify lens spaces. It is the first topological invariant which is not
homotopy invariant. Analytic torsion is introduced by Ray-Singer in the
70\'s as an analytic analogue of the Reidemeister torsion. The Ray-Singer
conjecture, which is now celebrated Cheeger-Mueller theorem, says that the
two are equal on closed manifolds. We will introduce the Ray-Singer
conjecture in the smooth case and discuss some recent work to extending it
to singular spaces.
