The equivalence of topological objects is often decided by introducing much more rigid geometric structures on pieces obtained by canonically decomposing the objects into smaller geometrizable components. We will discuss how geometrizations of dim=3 manifolds, of surface homeomorphisms, and of branched coverings of the 2-sphere allow solving the Homeomorphism Problem for 3-manifolds, Conjugacy Problem in Mapping Class Groups, and Thurston Equivalence in Complex Dynamics. All three problems are related; our emphasis will be on the last case.
The talk will take place in the hybrid format. The in-person participants will meet in room 024 on the ground floor at MPII. The virtual participants can join via the zoom link given earlier. If you wish to attend the talk virtually but do not have the password, contact Roohani Sharma at rsharma@mpi-inf.mpg.de.