Date: Monday, April 27, 2009
Title: Geometric analysis on the noncommutative torus
Abstract: Noncommutative geometry (in the sense of Alain Connes) involves
replacing a conventional space by a "space" in which the algebra
of functions is noncommutative. The simplest truly nontrivial
noncommutative manifold is the noncommutative 2torus, whose
algebra of functions is also called the irrational rotation algebra.
I will discuss a number of recent results on geometric analysis on
the noncommutative torus, including the study of nonlinear noncommutative
elliptic PDEs (such as the noncommutative harmonic map equation)
and noncommutative complex analysis (with noncommutative elliptic
functions).
Speaker: Jonathan Rosenberg
Institution: Univ of Maryland
