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Explore A'Campo spaces and their mathematical applications in this conference talk delivered at the New Developments in Singularity Theory conference. Learn how A'Campo spaces can be associated with any normal crossing degeneration, where the central fiber is replaced by a radius 0 copy of the Milnor fibration. Discover how A'Campo originally performed this construction topologically to produce monodromy with special dynamics, enabling computation of monodromy zeta functions. Examine the speaker's extension of A'Campo's construction to the symplectic category and understand its significant applications, including symplectic monodromy with special dynamics that leads to a proof of the Zariski multiplicity conjecture for families with constant Milnor number, as well as SYZ fibrations. The presentation covers joint research conducted with T. Pelka and provides insights into advanced topics in singularity theory and symplectic geometry.
