On constant-roll inflation

报告摘要：To produce large curvature perturbations at small scales during inflation which seed the generation of primordial black holes and scalar induced secondary gravitational waves, we usually consider inflationary models with an inflection point in the inflaton potential. Near the inflection point, the second Hubble slow-roll parameter ηH is around 3 and it is called the ultra-slow-roll inflation. Constant-roll inflation is a generalization of ultra slow-roll inflation. There exists a duality invariance in the scalar spectral tilt between large and small ηH for constant-roll inflation. Recently, it was found that a logarithmic duality of the primordial curvature perturbations exists. In this talk, we will discuss the background evolutions and the duality in constant-roll inflation.

报告人介绍：龚云贵，宁波大学教授、博士生导师。1991年于华中理工大学获得学士学位，1994年在中国科学院理论物理研究所获得硕士学位，2001年获得美国德克萨斯州立大学奥斯汀分校博士。主要从事相对论引力与宇宙学的研究工作。在Nature Astronomy, PRL等国际高水平学术期刊上发表了150余篇学术论文，出版宇宙学教材一部，发表的学术论文在高能数据库inspirehep中被引用9000余次 h指数为49，入选了全球前10万（前2%）科学家、2020、2022及2023中国高被引学者。主持了包括国家重点研发课题、自然科学基金重点项目在内的多项国家及省部级科研项目。先后荣获教育部新世纪优秀人才计划、中国侨界双百贡献奖（创新人才奖）、重庆市自然科学一等奖等奖项及荣誉称号。