Thursday April 3rd, 2025 | |
| Time: | 2:15 PM - 3:15 PM |
| Title: | Cohomological splittings in algebraic and symplectic geometry |
| Speaker: | Daniel Pomerleano, UMass Boston |
| Abstract: | |
| In the 1980s, Atiyah, Bott, and Kirwan established fundamental results on the rational cohomology of a compact symplectic manifold X with a Hamiltonian action of a connected, compact group G. I will review these classical results and then discuss recent integral and even stable homotopical refinements, drawing on ideas from chromatic homotopy theory and Gromov-Witten theory. This talk is based on joint work with Shaoyun Bai, Guangbo Xu, and Constantin Teleman. | |