时间：2022年5月20日（星期五）10:00-11:00
地点：ZOOM
ZOOM会议号：829 0049 9289
密码：264611
主持人：西湖大学理论科学研究院古星博士
主讲人：普林斯顿高等研究院 孔嘉博士
报告题目：Motivic image-of-J spectrum via the effective slice spectral sequence
主讲人简介：
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:
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.
