CENTER OF MATHEMATICAL SCIENCES AND APPLICATIONS SPECIAL ALGEBRAIC GEOMETRY SEMINAR : | Netanel Rubin-BlaierCMSA, Harvard |
The Kontsevich compactification, Abel-Jacobi maps, and symplectomorphism of algebraic varieties |

on Thursday, May 24, 2018, at 3:00 - 4:00 PM in CMSA Building, 20 Garden Street, Room G10 | ||

I'll describe a way to prove the existence of non-trivial elements in the homology and homotopy groups of $Symp(X,\omega)$, where $(X,\omega)$ is a Fano variety. The approach is based on considering the geometry of Kontsevich moduli spaces of stable maps and comparing it with a family of intermediate Jacobians. We will consider a number of examples including cubic 3-folds, complete intersection of quadrics, and moduli spaces of rank 2 stable bundles over algebraic curves of genus $g$, $g \geq 2$. |