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两个为期一周的研讨会：2015年8月24日至28日的“半经典分析：谱理论和共振”，以及“时空双曲方程：稳定性，微局域分析和量子场论”，2015年9月7日至12日，这是奥地利维也纳的埃尔温薛定谔研究所（ESI）为期3个月的“波动方程现代理论”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项目的目的是将研究波动方程的研究人员聚集在一起，以促进三个相关领域之间的相互作用，其中联合会议是罕见的：洛伦兹时空中波的渐近行为和相关的预解式估计;散射理论，共振和半经典分析;弯曲时空量子场论中的特殊参数和阿达玛态。 组织者将努力使许多年轻的研究人员能够参加会议。 组织者还将努力尽可能确保与会者的多样性。

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.