Speaker
Jan Draisma, University of Bern
Abstract
An embedded variety X in R^n may be presented to us in different ways:
via equations, via a parameterisation, or via (noisy) samples. An
important invariant of X is its symmetry group G_X: the subgroup of
GL_n(R) consisting of all matrices that preserve X. I will describe
methods for learning the Lie algebra of G_X in these three settings. In
the parameterised setting, this is joint work with Biaggi, Gesmundo,
Maraj, and Mišinová. The sample setting is work in progress that started
earlier this year at the Bernoulli Center in Lausanne, and leads to
several open problems relating metric algebraic geometry to Lie theory.