Math 151c

Virtual properties of 3-manifolds

Winter 2014-15

 

Time TBA // Place TBA

Course Description | References | Lecture Notes | Handouts

Instructor: Yi Liu, 374 Sloan, yliumath@caltech.edu, Office Hour: by appointment


Announcements



Date

Announcement




Course Description



Topics: A virtual property of a 3-manifold is a property satisfied by a finite cover of the 3-manifold. Study of such properties is closely related subgroups of the fundamental group and their separability. Virtual properties of 3-manifolds are a hot topic in recent years.

The goal of course is to give an introduction to the Virtual Haken Conjecture. We plan to spend 4 weeks to study 3-manifold topology from the perspective of Thurston's Geometrization, and 3 weeks to study special cube complexes following the work of D. Wise, and the rest 3 weeks to discuss Agol's proof of VHC. The prerequisite of this course is Ma 151a or equivalent familarity with fundamental groups and covering spaces.


References

 


 

Lecture Notes

 


Date

Description 

TBA

TBA


Handouts

 


Date

Description 

TBA

TBA


Homework




 Last update:  Nov 17, 2012 | © California Institute of Technology | Questions?  kaubry @ caltech.edu