Algebraic shifting

Isabella Novik

University of Washington

September 13,
refreshments at 3:45pm


Algebraic shifting introduced by Gil Kalai is an algebraic operation that given a simplicial complex $\Gamma$ produces a shifted complex $\Delta(\Gamma)$. This new complex has a simpler combinatorial structure, yet it shares with $\Gamma$ several combinatorial, topological, and algebraic properties such as face numbers, (topological) Betti numbers, extremal (algebraic graded) Betti numbers, etc. In the talk I will survey existing results and will present several new ones on algebraic shifting and their applications to combinatorics. This is a joint work with Eric Babson and Rekha Thomas.

Speaker's Contact Info: novik(at-sign)

Return to seminar home page

Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

Page loaded on August 22, 2002 at 05:33 PM. Copyright © 1998-99, Sara C. Billey. All rights reserved.