The last Kervaire invariant problem

Abstract:The Kervaire invariant problem asks in which dimensions there exits framed manifolds of Kervaire invariant one. This has many implications in geometry and topology, such as the classification of homotopy spheres. By efforts of Browder, Barratt, Jones, Mahowald, Tangora, Hill, Hopkins, Ravenel, we know the answers in dimensions other than 126. Recently, joint with Weinan Lin and Zhouli ...

报告人：Guozhen Wang (Fudan University)

Decorated trees for Koszul-Tate resolutions and ghosts

Abstract:Koszul-Tate resolutions are the key ingredient in the Batalin-Vilkovisky (BV) and the Batalin-Fradkin-Vilkovisky (BFV) formalisms. Such resolutions have been known explicitly only in a very limited number of cases. And while the Tate algorithm shows existence, it almost always leads to an infinite amount of computations to be performed.We provide an alternative approach where the gener...

报告人：Thomas Strobl (Université Claude Bernard Lyon 1)

Automorphisms of the Boutet de Monvel algebra

Abstract:In a remarkable work, Duistermaat and Singer in 1976 studied the algebras of all classical pseudodifferential operators on smooth (boundaryless) manifolds. They gave a description of order preserving algebra isomorphism between the algebras of classical pseudodifferential operators of two manifolds. The subject of this talk is the generalisation of their results to manifolds with ...

报告人：Ryszard Nest (Copenhagen University)

A number theorist's adventures in the land of spectral theory

Abstract:I will discuss some of the interactions between number theory and the spectral theory of the Laplacian. Some have very classical background, such as the connection with lattice point problems. Others are newer, including connections with Random Matrix Theory, the zeros of the Riemann zeta function, and the work of Maryam Mirzakhani on the moduli space of hyperbolic surfaces. Biography:...

报告人：Zeev Rudnick (Tel Aviv University)

智能计算与数学规划

本次讲座汇报了数学规划求解算法软件的历史发展与团队在这方面的一些理论和实践工作，和近期将GPU/CUDA架构用于高性能高精度计算的一些突破性进展，及如何解决现实中极度困难的超大规模现实管理决策问题，讨论其在工业软件、智能制造、能源、航空、金融等多方面的应用。葛冬冬，上海交通大学安泰经济与管理学院特聘教授，智能计算研究院院长。2009年在斯坦福大学管理科学与工程系获博士学位。主要研究兴趣为大规模优化问题的理...

报告人：葛冬冬（上海交通大学）