Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | 沈俊亮 博士，Yale University
| | Inviter: | | Title:
| The P=W conjecture and hyper-Kahler geometry | Time & Venue:
| 2021.09.24 09:00-10:00 南楼N226室 | Abstract:
| Zoom会议：412 019 4771 密码：mcm1234
Topology of Hitchin’s integrable systems and character varieties play important roles in many branches of mathematics. In 2010, de Cataldo, Hausel, and Migliorini discovered a surprising phenomenon which relates these two very different geometric objects in an unexpected way. More precisely, they predict that the topology of Hitchin systems is tightly connected to Hodge theory of character varieties, which is now called the “P=W” conjecture. In this talk, we will discuss recent progress of this conjecture. In particular, we focus on general interactions between topology of Lagrangian fibrations and Hodge theory in hyper-K?hler geometries. This hyper-K?hler viewpoint sheds new light on both the P=W conjecture for Hitchin systems and the Lagrangian base conjecture for compact hyper-K?hler manifolds.
| |
| |
优惠券领取后72小时内有效，10万种最新考研考试考证类电子打印资料任你选。涵盖全国500余所院校考研专业课、200多种职业资格考试、1100多种经典教材，产品类型包含电子书、题库、全套资料以及视频，无论您是考研复习、考证刷题，还是考前冲刺等，不同类型的产品可满足您学习上的不同需求。 ...考试优惠券 本站小编 Free壹佰分学习网 2022-09-19