|Date: Friday, September 05, 2014
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: The balanced Lower Bound Theorem and Generalized Lower Bound Conjecture
Abstract: A simplicial (d-1)-dimensional complex K is called "balanced" if the graph of K is d-colorable. Rather surprisingly, it turns out that many well-known face enumeration results have natural balanced analogs (or at least conjectural analogs). Specifically, we will discuss the balanced analog of the celebrated Lower Bound Theorem (together with the treatment of equality cases) and the balanced analog of the Generalized Lower Bound Conjecture. If there is time, we will also talk about the balanced Walkup class and present constructions of balanced manifolds with few vertices.
This work is joint with Steve Klee.
Speaker: Isabella Novik
Institution: University of Washington