Algebraic shifting

Isabella Novik

University of Washington

September 13,
4:15pm
refreshments at 3:45pm
2-338

ABSTRACT 

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)math.washington.edu


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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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