Algebra/Topology Seminar
Algebra/Topology Seminar
Speaker: Mingcong Zeng (Utrecht University)
Title: Dual Steenrod algebra, real cobordism and Morava E-theories
Abstract:
In chromatic homotopy theory, Morava E-theories with the action of Morava stabilizer groups play a fundamental role. But computing them, especially in height > 2 is difficult, mainly because of the following reasons:
1. The group action is complicated and there is no clean formula.
2. There is no easy geometric models in height > 2 compatible with the group action.
In this talk, we will investigate the case when p = 2 and the acting group is a cyclic 2-group and attempt to give answers to the above problems for all heights. I will construct Morava E-theories equivariantly from the real cobordism spectrum, and how these theories are deeply related to dual Steenrod algebra and its generalizations via the equivariant slice filtration of Hill-Hopkins-Ravenel.
This is joint work with Agnes Beaudry, Lennart Meier and Danny Xiaolin Shi.
1. The group action is complicated and there is no clean formula.
2. There is no easy geometric models in height > 2 compatible with the group action.
In this talk, we will investigate the case when p = 2 and the acting group is a cyclic 2-group and attempt to give answers to the above problems for all heights. I will construct Morava E-theories equivariantly from the real cobordism spectrum, and how these theories are deeply related to dual Steenrod algebra and its generalizations via the equivariant slice filtration of Hill-Hopkins-Ravenel.
This is joint work with Agnes Beaudry, Lennart Meier and Danny Xiaolin Shi.