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Speaker: Christopher Brav Abstract: This will be an introductory and organization talk for a joint reading seminar with Guozhen Wang, on continuous K-theory in the sense of Alexander Efimov. In brief, “continuous” K-theory is an extension of algebraic K-theory to a certain nice class of well-behaved large categories for which the classical construction of algebraic …

Seminar on Continuous K-theory: Introduction and motivation to continuous K-theory 查看全文 »

Speaker: Hang Wang (ECNU) Abstract: Let G be a connected, real semisimple Lie group, and K a maximal compact subgroup. For a discrete subgroup Γ in G, we have the locally symmetric space X = Γ\G/K. Such spaces appear in many places in mathematics and include, for example, all hyperbolic manifolds. Our research was strongly …

【算子代数讲座】A higher index for finite-volume locally symmetric spaces 查看全文 »

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 …

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

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 …

Diagonals in classifiable C*-algebras 查看全文 »

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 …

A geometric Elliott invariant 查看全文 »

Speaker: Lu Yukun (National University of Singapore) Time: 3:30 p.m., Wed., July 31, 2024 Zoom Meeting No.: 851 8363 2572 (Password: 680769)

Speaker: Mikael Kuusela (Carnegie Mellon University) Time: 10:00 a.m., Wed., July 31, 2024 Zoom Meeting No.: 817 9258 2718 (Password: 600510)

Speaker: Debashis Paul (Indian Statistical Institute, Kolkata & University of California, Davis) Time: 3:30 p.m., Wed., July 24, 2024 Zoom Meeting No.: 851 8363 2572 (Password: 680769)

Speaker: Bodhisattva Sen (Columbia Univeristy) Time: 9:00 a.m., Thu., July 18, 2024 Zoom Meeting No.: 817 9258 2718 (Password: 600510)

Speaker: Qiang Zhangh (Zhejiang Univeristy) Time: 3:30 p.m., Wed., July 17, 2024 Zoom Meeting No.: 851 8363 2572 (Password: 680769)