Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants

Explore a lecture on non-archimedean quantum K-theory and Gromov-Witten invariants delivered by Tony Yue Yu from the California Institute of Technology. Delve into recent developments in non-archimedean geometry motivated by mirror symmetry and curve enumeration with boundaries. Learn about a novel approach that diverges from classical algebraic geometry methods, instead building upon derived non-archimedean geometry, representability theorems, and Gromov compactness. Discover how numerical invariants are obtained through K-theory and motivic cohomology, and examine geometric relations between stacks of stable maps at the derived level. Understand the implications of these relations on numerical invariants and appreciate the intuitive statements and functorial proofs produced by this derived approach. Investigate the flexibility of this method in imposing complex incidence conditions for marked points, including those with multiplicities.