Conference Proposal: Modern Theory of Wave Equations Program at the Erwin Schrodinger Institute

摘要(Vasy，1465291)：该奖项将支持美国初级参与者参加2015年8月24-28日的两个为期一周的研讨会：2015年8月24-28日的“半经典分析：谱理论和共振”，以及2015年9月7-12日的“时空双曲方程：稳定性、微局域分析和量子场论”，这是奥地利维也纳欧文·薛定谔研究所为期3个月的“现代波动方程理论”项目的一部分。波动方程是描述波在时空中传播的双曲型微分方程。这两个研讨会和整个程序的目的是将研究波动方程的研究人员聚集在一起，以便促进三个相关领域之间的相互作用，在这些领域中，很少有联合会议：洛伦兹时空上波的渐近行为和相关的预解估计；散射理论、共振和半经典分析；弯曲时空量子场论中的显著参数和Hadamard态。主办方将作出努力，让许多年轻的研究人员能够参加会议。主办方还将努力最大限度地确保参赛者的多样性。

Abstract (Vasy, 1465291): The award will support junior US participants to attend two one-week workshops: "Semi-classical Analysis: Spectral Theory and Resonances" on August 24-28, 2015, and "Hyperbolic Equations on Spacetimes: Stability, Microlocal Analysis and Quantum Field Theory", on September 7 - 12, 2015, which are parts of a 3-month long program at the Erwin Schr¨odinger Institute (ESI) in Vienna, Austria, on the "Modern theory of wave equations". Wave equations are hyperbolic differential equations that describe the propagation of waves in space time.The two workshops and the program in general are aimed at bringing together researchers working on wave equations in order to foster interactions between three related areas in which joint conferences are rare: Asymptotic behavior of waves on Lorentzian spacetimes and related resolvent esimates; Scattering theory, resonances and semi-classical analysis; Distinguished parametrices and Hadamard states in quantum field theory of curved spacetimes. The organizers will make efforts so that many young researchers can participate in the conference. The organizers will also strive to ensure the diversity of the participants to the maximum extent possible.