| Date | Nov 03, 2014 | 
|---|---|
| Speaker | Teruaki Kitano | 
| Dept. | Soka University, Japan | 
| Room | 129-406 | 
| Time | 16:00-17:00 | 
(1) Definitions, properties.  
      - torsion of an acyclic complex 
      - torsion of a CW-complex 
      - properties 
      - classification of lens spaces 
 (2) Alexander polynomial and twisted Alexander polynomial. 
      - Milnor's theorem: Alexander polynomial=Reidemeister torsion.  
      - twisted Alexander polynomials=Reidemeister torsion. 
(3) Application of twisted Alexander polynomial 
      - Criterion for the non-existence of an epimorphism 
(4) Reidemesiter torsion of a homology 3-sphere 
      - Dennis Johnson's theory and its generalization 
(5)Ray-Singer torsion, L2-torsion and hyperbolic volume