学术报告（盛茂 7.6）

Title: Tensor product theorem for semistable parabolic $\lambda$-connections

 Abstract: Let $X$ be a smooth complex projective variety and $D\subset X$ a reduced effecitve normal crossing divisor. Fix an ample line bundle $L$ over $X$. We prove that the tensor product of $\mu_L$-semistable parabolic $\lambda$-connections over $(X,D)$ is again $\mu_L$-semistable. For empty $D$ and integrable $\lambda$-connections, the known proof is transcendental (by proving the existence of HYM metric on stable Higgs bundles). Our new method is first establishing a tensor product theorem in positive characteristic and then taking reduction by modulo p. This is a joint work with Jianping Wang.