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Rigidity of quantum tori and description of automorphism groups November 28, 2012 (03:30 PM PST - 04:30 PM PST)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Milen Yakimov
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We will describe a general rigidity theorem for quantum tori.
It leads to a scheme that can be used to classify the (full) automorphism groups of algebras that admit one quantum cluster (i.e. can be squeezed between a quantum affine space algebra and the corresponding quantum torus).
The technique has a broad range of applications and in particular settles a couple of conjectures of Andruskiewitsch-Dumas and Launois-Lenagan. The former describes the automorphism groups of the algebras U_q^+(g) and the latter those of the algebras of square quantum matrices.

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