Topology Seminar: Antonio Alfieri

Lattice cohomology is a combinatorial invariant of isolated singularities of complex surfaces introduced by Ozsvath Stipsicz and Szabo, and independently by Nemethi. The construction, inspired by Heegaard Floer homology, was recently employed by Nemethi to prove that a complex surface singularity is rational if and only if the fundamental group of its link is left orderable. I will give an introduction to the topic and discuss a few conjectures/new results. Some of these speculations are ongoing work in collaboration with Irving Dai.