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Two short talks on some geometry November 09, 2012 (11:30 AM PST - 12:15 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Greg Muller
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Come see two talks for the price of one! (Still free)

'Codimension of deep ideals'. The Laurent embeddings of a cluster algebra A are dual to algebraic tori inside the spectrum of A. The complement of these tori is the 'deep part', where much of the algebraic complexity of A is hiding. I will talk about the codimension of this deep ideal, and an application to computing upper cluster algebras.

'Superunital domains' We will consider the subset of the positive part of a cluster algebra, on which every cluster variable is at least 1. We will talk about why this isn't a completely random thing to do, some results in finite type, and some compelling, mysterious computations."

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