时间：2022年5月20日（星期五）10:00-11:00

Time：10:00-11:00, Friday, May 20th, 2022

地点：ZOOM

Venue: ZOOM

会议号/ZOOM ID：829 0049 9289

密码/Passcode：264611

主持人：理论科学研究院 古星博士

Host：Dr. Xing Gu, Institute for Theoretical Sciences

主讲人：普林斯顿高等研究院 孔嘉博士

Speaker：Dr. Hana Jia Kong, Institute for Advanced Study, Princeton, USA

主讲人简介/Biography：

Dr Hana Jia Kong is a postdoc member at the IAS 2021-2023. She completed her Ph.D. in Spring 2021 at the University of Chicago, under the supervision of J. Peter May and Dan Isaksen. Her research interest is algebraic topology, with a particular emphasis on motivic and equivariant homotopy theory.

报告摘要/Abstract：

In classical homotopy theory, the J-homomorphism connects the homotopy groups of the orthogonal groups and spheres. It was defined geometrically, and its image detects an important family of classes in the stable homotopy groups. There is a spectrum j realizing the image of J-homomorphism, defined using K-theory and the Adams operations. 

In the motivic stable homotopy category, there is an analogous spectrum, the motivic image-of-J defined by Bachmann--Hopkins. I will talk about this motivic analog and how to calculate its bigraded motivic homotopy groups using the effective slice spectral sequence. Over real numbers, the result captures a regular pattern in the bigraded homotopy groups of the motivic sphere. This is joint work with Eva Belmont and Dan Isaksen.