1、邓亚博士——12月23日15:00-16:00
邓亚,研究方向为复几何,师从于J.-P. Demailly,现任职于法国国家科学研究中心。
Title: Recent progress on hyperbolicity of algebraic varieties
Abstract: Hyperbolicity of algebraic varieties is a tantalizing topic of complex algebraic geometry in the last two decades, partly because of its fascinating analogy with the study of rational points of algebraic varieties, a central topic of number theory. It interacts directly with many areas like Hodge theory, Nevanlinna theory, differential geometry etc. In this talk I will present some recent progress in this subject.
2、韩笑博士——12月23日16:00-17:00
韩笑,研究方向为量子群(胚)和非交换几何,现就职于伦敦玛丽女王大学,职位:玛丽居里学者。
Title: On the gauge groups and bialgebroids
Abstract:For starters, we will recall the fundamental concept of a Hopf-Galois extension, and instantiate it through quantum principal SU(2)-bundles with noncommutative seven-spheres as total spaces and noncommutative four-spheres as base spaces, together with monopole bundle over the quantum sphere.
Then we will recall the construction of the Ehresmann-Schauenburg bialgebroid of a Hopf-Galois extension, which is a noncommutative analogue of the Ehresmann groupoid of a classical principal bundle. Next, we will show that, the gauge group of any Hopf Galois extension is isomorphic to the group of bisections of its Ehresmann-Schauenburg bialgebroid. Then, we will prove that the group of bisections and the group of automorphisms of the bialgebroid form a crossed module. In particular, we will consider and Galois objects (non-trivial noncommutative principal bundles over a point), whose base-space subalgebra is the ground field and the corresponding Ehresmann-Schauenburg bialgebroid becomes a Hopf algebra. Examples will include monopole bundle and Galois objects of Taft algebras.
3、王杨抟风博士——12月23日17:00-17:30
王杨抟风,研究方向为几何建模、计算机图形学、计算机视觉、布料仿真,现就职于Adobe Research,职位:Research Scientist
报告标题:人像合成与分解
报告摘要:人像的合成在图片/视频编辑、虚拟/增强现实、电子商务中有极为基础的应用。其中,图像的分解亦与之息息相关。在处理此类问题时,已有的方法不能很好处理动态中复杂服装的非刚性变化。在这个报告中,我将汇报近年来我们提出的一系列基于视频的人像合成技术,通过基于风格化的神经网络以及更紧凑有效的动态表达,我们的方法取得了非常好的视觉效果和运动通用性。此外,图像、视频的分解也是编辑的重要一环。我将介绍我们最新提出的基于自监督学习的纹理坐标(UV)构造算法,以及基于模式识别的构造算法。
报告地点:腾讯会议694 418 928,密码9363。