学术报告（Hu Shengda 2026.6.5）

Abstract: Let $\mathbb V = V \dsum V^*$ and $\langle, \rangle$ be the standard neutral pairing. We describe some explicit computations for modules over the Clifford algebra $\mathrm{Cl}(\mathbb{V}, \langle, \rangle)$, including an explicit description of natural $\mathfrak{sl}_2$-structures on $\mathrm{Cl}(\mathbb{V}, \langle, \rangle)$, as well as modules associated to a generalized metric $\mathbb{G}$. We will also discuss some elementary computations involving Dirac operators associated to generalized connections, in particular exhibit the twisted de Rham differential $d_\gamma$ for closed $\gamma \in \Omega^3(M)$ as a member of a natural family of Dirac operators. This is a work in progress.