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短课:Poisson vertex algebras and integrable systems
时间:2026年05月09日 13:55 点击数:

报告人:Alberto De Sole

报告地点:Zoom会议 Meeting ID:904 645 6677; Password:2026

报告时间:2026年05月11日至2026年06月12日

邀请人:刘杰锋

报告摘要:

Poisson algebras play a crucial role in the theory of Hamiltonian ODE. In the case of Hamiltonian PDE, a similar role is taken by Poisson vertex algebras. In these lectures, we discuss the theory of Poisson vertex algebras and their generalizations, in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical W-algebras and apply it to construct a large class of integrable Hamiltonian PDE. We also discuss differential-difference Hamiltonian equations in the framework of multiplicative PVA.

Schedule:

Date

Time   (Beijing Time)

Meeting   ID and Password

2026/05/11

20:00-21:00

Meeting   ID:904 645 6677

Password:2026

2026/05/18

20:00-21:00

2026/05/25

20:00-21:00

2026/06/01

20:00-21:00

2026/06/08

20:00-21:00

2026/06/12

20:00-21:00


主讲人简介:

Alberto De Sole is a full professor of mathematics at university of Rome. He received his PhD in mathematics from the Massachusetts Institute of Technology (MIT) in 2003 under the supervision of Victor Kac. Prior to his current position, he held positions as a Benjamin Peirce Assistant Professor at Harvard University and as a researcher at Sapienza. His research focuses on algebra and mathematical physics, with particular expertise in vertex algebras, Poisson vertex algebras, W-algebras, Lie conformal algebras, and their applications to integrable Hamiltonian partial differential equations and quantum field theory. He has authored numerous influential papers and is recognized internationally for his contributions to these fields.

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