报告地点：行健楼学术活动室526

Abstract: Chromatic homotopy theory introduces a family of periodic cohomology theories, known as higher real $K$-theories, to capture deep periodic phenomena in homotopy theory. These theories generalize topological $K$-theory to higher heights and have played a central role in addressing major problems in algebraic and geometric topology, such as the Kervaire invariant problem.  In this talk, I will present periodicity theorems for higher real $K$-theories at the prime 2 and explain how these results contribute to equivariant computations, including equivariant slice spectral sequences and Picard groups.