Tame Geometry and Hodge Theory

Explore the intersection of o-minimality and complex geometry through this mathematical lecture delivered at Harvard's Center of Mathematical Sciences and Applications. Delve into the fundamental concepts of tame geometry and discover how o-minimal structures provide powerful tools for understanding complex geometric phenomena, with particular emphasis on applications within Hodge theory. Learn about the theoretical foundations that connect these seemingly disparate mathematical areas and gain insights into how tameness conditions can illuminate complex geometric structures. Examine specific examples and techniques that demonstrate the effectiveness of o-minimal methods in solving problems in complex geometry and Hodge theory.