Symplectic 4-Manifolds on the Noether Line and between the Noether and Half Noether Lines

Abstract: In this talk, first we will review some main concepts and techniques in the smooth and symplectic 4-manifolds theory. Then we will discuss our constructions of exotic, simply connected and symplectic 4-manifolds on the Noether line and between the Noether and half Noether lines via pencils of complex curves of genus one and via symplectic surgeries. We will also present a completely geometric way of constructing certain configurations of Kodaira’s singularities in the rational elliptic surfaces, without using any monodromy arguments.

commutative algebraalgebraic geometrynumber theoryrepresentation theory

Audience: advanced learners

UCGEN - Uluslararası Cebirsel GEometri Neşesi

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For further information, please feel free to contact Turku Ozlum Celik.