This week's seminars
Pure Maths Colloquium: Noncommutative manifolds
30 April 2018 16:00 in CM221
Analytic functions of non-commuting variables are defined by abstraction from the properties of polynomial functions of tuples of matrices. Their theory has been much developed over the last decade, under the title of `free analysis' or `noncommutative analysis'.
I will describe the construction of the free Riemann surface of the matricial square root function. For this purpose one has to introduce the notion of a noncommutative manifold.
This is joint work with Jim Agler (UCSD).
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