On the projectively covariant differential operators on $\mathbb{R}\mathbb{P}^2$ (Part 2) Toshihisa Kubo, Ryukoku University Host: Leticia Barchini See abstract for Zoom information
Abstract: In contrast to conformal geometry, in which there are a large number of works on conformally covariant differential operators, only a few results are known for projectively covariant differential operators. For instance, the classification of such differential operators for $\mathbb{R}\mathbb{P}^2$ seems not in the literature, although the case for
$\mathbb{R}\mathbb{P}^1$ was done by G.\ Bol in 1949. In this talk, we shall discuss the classification and explicit construction of projectively covariant differential operators on $\mathbb{R}\mathbb{P}^2$. The classification result, in particular, verifies an insight of Kable on an automatic conformal invariance result for second order systems on vector bundles. This is based on joint work with Bent {\O}rsted.
To add/edit talks, please log in on the department web page, then return to Announce. Alternatively if you know the Announce
username/password, click the link below: