Igor Kříž (Univ. Michigan): Equivariant Topology and the Steenrod Algebra (4 pm)
Po Hu (Wayne State Univ.): The Z/p-Equivariant Steenrod Algebra for odd primes (5 pm)
Abstract (Igor Kříž): In this talk, we will introduce some concepts of equivariant algebraic topology. We will also discuss the concept of cohomological operations and the Steenrod algebra. We will then present a classical calculation of the Z/2-equivariant Steenrod algebra by Hu and Kriz, and its significance in equivariant topology, including Hill, Hopkins, and Ravenel's solution of the Kervaire invariant 1 problem.
Abstract (Po Hu): I will discuss recent joint work by Po Hu, Igor Kriz, Petr Somberg, and Foling Zou https://arxiv.org/abs/2205.13427 calculating the Z/p-equivariant Steenrod algebra for odd primes. I will discuss the result, some specific new tools necessary for this calculation, as well as some potential applications.
The Algebra Seminar was founded by Vladimir Korinek in the early 1950's and continued by Karel Drbohlav until 1981. The seminar resumed its activities in 1990 under the guidance of Jaroslav Jezek and Tomas Kepka. Since 1994, the seminar is headed by Jan Trlifaj.
Presently, the seminar is supported by GACR. It serves primarily as a platform for presentation of recent research of the visitors to the Department of Algebra as well as members of the Department and their students.