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

摘要（Vasy, 1465291）：该奖项将支持年轻的美国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2015年9月7日至12日的“时空双曲方程：稳定性，微局部分析和量子场论”，这是奥地利维也纳埃尔温·薛定谔研究所（ESI）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的传播的双曲微分方程。这两个研讨会和总体计划旨在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，这些领域的联合会议很少：波在洛伦兹时空上的渐近行为和相关的解决方案估计；散射理论、共振和半经典分析；弯曲时空量子场论中的区别参数和哈达玛态。组织者将努力使许多年轻的研究人员能够参加会议。主办单位也会尽量保证参加者的多样性。

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.