University of Washington
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)math.washington.edu
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