Explore a comprehensive lecture on lattice cohomology delivered by András Némethi from the Rényi Institute of Mathematics. Delve into the topological lattice cohomology associated with negative definite plumbed 3-manifolds and its equivalence to Heegaard Floer theory. Examine the connection between the Euler characteristic and Seiberg-Witten invariant, and understand the motivation behind its construction in relation to analytic invariants of singularities. Investigate the analytic lattice cohomology associated with isolated singularities, its role as a categorification of the geometric genus, and how its variation measures different analytic structures on a fixed topological type. Gain insights into deformation theoretical connections and expand your understanding of this complex mathematical topic.
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