Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	邹佛灵博士，University of Michigan
Inviter:
Title:	Computations in equivariant algebraic topology
Time & Venue:	2022.11.08 08:30-09:30 N933 腾讯会议：690-384-471
Abstract:	Modern algebraic topology sees equivariance arising in unexpected context. Equivariant cohomology carries rich structures but is much harder to compute. In 2009, Hill, Hopkins, and Ravenel solved the 50-year-old Kervaire invariant problem about framed manifolds (for p=2), which has nothing to do with group actions a prior, using equivariant computation. Their work was related to the computation of the dual Steenrod algebra for the group Z/2 by Hu and Kriz. We compute the dual Steenrod algebra for the group Z/p for odd prime p. It turns out that the case of odd primes has interesting new components. We hope to use it to tackle the odd primary Kervaire problem, which remains open for p=3. I will also talk about my work on equivariant factorization homology and its application in the computation of the Real topological Hochschild homology.