Schön Varieties and Decomposition of Semi-Algebraic Set

Schön Varieties and Decomposition of Semi-Algebraic Set

Explore the concept of Schön varieties and their role in studying algebraic geometry through tropicalization in this 53-minute lecture by Yixian Wu from the University of Miami. Delve into the definition of Schön varieties as those with smooth initial degenerations and understand their significance in the context of motivic volumes as defined by Nicaise-Payne-Schroeter. Examine the tropical Fan associated with Schön varieties and learn how to decompose semi-algebraic sets into components that can be analyzed using Schön variety techniques. Gain insights into this advanced mathematical topic and its applications in algebraic geometry and tropical geometry.