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Holographic correlators are the most basic objects to exploit and explore the AdS/CFT correspondence. They encode a wealth of theoretical data and allow one to analytically study theories in strongly coupled phases. Holographic correlators can also be viewed as scattering amplitudes in AdS space, and therefore provide a valuable opportunity to explore the curved space extensions of various remarkable properties of flat-space scattering amplitudes. However, holographic correlators are notoriously difficult to compute and only until recently efficient modern methods were invented. In this review talk, I will give an overview of the recent progress in studying holographic correlators. I will show how methods based on bootstrap ideas allow one to circumvent the unsurmountable difficulties of the traditional approach and to obtain general results in various string theory and M-theory backgrounds. In addition to reviewing these bootstrap results, I will also mention two promising new directions where explorations are just starting. The first is trying to establish an on-shell scattering amplitude program in AdS where there is now an accumulation of evidence for AdS avatars of flat-space features of amplitudes. The second is the emergence of a new connection with integrability where preliminary investigations suggest certain holographic correlators enjoy a Yangian symmetry.

Introduction of Speaker:

Xinan Zhou received his undergraduate degree from the University of Science and Technology of China in 2013 and his Ph.D. degree from the Chen Ning Yang Institute of Theoretical Physics, State University of New York at Stony Brook in 2018. 2018-2021 he worked as a PCTS Fellow and Sam B. Treiman Postdoctoral Fellow at the Princeton Center for Theoretical Science, Princeton University for Postdoctoral research. joined CASU in September 2021 and is currently a long-tenured faculty track assistant professor at the Caverly Institute for Theoretical Sciences. His research interests in recent years have focused on conformal field theory, AdS/CFT pairing, and scattering amplitudes. Currently, he has published 26 papers in Phys. Rev. Lett, Phys. Rev. X, JHEP and other academic journals with more than 1100 total citations.