Department of Mathematics Calendar
Harm Derksen, University of Michigan, Matrix Invariants and Complexity
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We consider the action of the group SL_n x SL_n on the space of m-tuples of n x n matrices by simultaneous left-right multiplication. Visu Makam and the speaker recently proved that invariants of degree at most mn^4 generate the invariant ring. This result has interesting applications in algebraic complexity theory and is related to the notion of non-commutative rank.