Online talk: Daniel Bernstein

Monday, April 19, 3pm ET (8pm BST, 7am Tue NZST)
Daniel Bernstein, MIT
Rigidity of symmetry-forced frameworks

Abstract:

The fundamental problem in rigidity theory is to determine whether a given immersion of a graph into $\mathbb{R}^d$ can be continuously deformed, treating the edges as rigid bars that can move freely about their incident vertices. Rigidity is a generic property of each fixed graph $G$, in the sense that almost all immersions of $G$ into $\mathbb{R}^d$ are rigid, or almost all immersions are flexible. The graphs that are generically rigid in $\mathbb{R}^d$ are the spanning sets of a certain matroid. The main result of my talk will be about rigidity in the plane when the graphs and their immersions have certain symmetry constraints.

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