**UM Math Graduate Students Seminar**

Dr. Nikolai Saveliev

*University of Miami*

**will present**

**The Triangulation Conjecture**

Friday, March 02, 2012, 4:00pm

Ungar Building Room 402

**Abstract:**One of the oldest and most difficult problems in manifold topology is the triangulation conjecture which states that every topological manifold is homeomorphic to a simplicial complex. The conjecture is known to be true in all dimensions up to three, false in dimension four, and it remains open in dimensions five and higher. I will outline the progress to date and will explain how gauge theories of theoretical physics have emerged as a major tool in dealing with the conjecture.

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