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SIMIS Seminar on Field Theory and String Theory: Mirror symmetry via Floer theoretic invariants with support

Speaker: Umut Varolgunes Abstract: I will outline an approach to mirror symmetry where the A-side is a symplectic CY manifold “symplectically cut” into certain small pieces and the B-side is a non-archimedean analytic space glued from Floer theoretic invariants of those pieces. This suggests a clear path for conceptual explanations to homological mirror symmetry and …

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Diagonals in classifiable C*-algebras

Wilhelm Winter (Universität Münster) 14:00-15:00, July 31th, 2024    Shanghai Institute for Mathematics and Interdisciplinary Sciences Abstract: Cartan and diagonal subalgebras encode underlying dynamical structures of C*-algebras via their associated groupoids. The existence of Cartan subalgebras in separable, simple, nuclear C*-algebras is closely related to the UCT problem, but even for well-known classifiable ambient C*-algebras, we have …

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A geometric Elliott invariant

Hang Wang (East China Normal University) 11:00-12:00,July 31th,2024     Shanghai Institute for Mathematics and Interdisciplinary Sciences Abstract: We develop a geometric approach to the Elliott invariant for a free, minimal action of $\mathbb{Z}^d$ on a compact space with finite covering dimension. This approach relies on topological and index-theoretic data from the mapping torus associated with the …

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