The 4th Australia-China-Japan-Singapore-US Index Theory Conference-Analysis and Geometry on Manifolds
August 4-8, 2025, National University of Singapore

Monday, August 4
9:30-10:15 Xianzhe Dai Singular Metrics of Nonnegative Scalar Curvature and RCD
10:30-11:15 Guangxiang Su Llarull's Theorem on Odd Dimensional Manifolds and Spectral Flow
11:30-12:15 Ken-Ichi Yoshikawa Degenerations of Algebraic Manifolds and Analytic Torsions of Nakano Semi-positive Vector Bundles
14:30-15:15 Tsuyoshi Kato Amenability vs Nonamenability in Covering Geometry
15:30-16:15 Qiaochu Ma Small Scale Index Theorem, Scalar Curvature and Gromov's Simplicial Norm
16:30-17:15 Ruizhi Huang Algebraic Topology of 24 Dimensional String Manifolds
Tuesday, August 5
9:30-10:15 Jonathan Rosenberg Generalized Positive Scalar Curvature on Spinc Manifolds
10:30-11:15 Bryan Bai-Ling Wang Lie Groupoid Structures on Donaldson Moduli Spaces
11:30-12:15 Jyotirmoy Sengupta Automorphic Forms and the Sup Norm Problem : A Survey
14:30-15:15 Andrew Linshaw Dualities among W-algebras with N=2 Supersymmetry
15:30-16:15 Guo Chuan Thiang Macroscopic Index and Fractionally Quantized Traces
16:30-17:15 Qin Li
Wednessday, August 6
9:30-10:15 Siye Wu BRST Current and the Noether Theorems
10:30-11:15 Shin Hayashi Index Formula for Quarter-plane Toeplitz Operators via Extended Symbols
11:30-12:15 Peter Bouwknegt Reflections on Mathai's Career
Thursday, August 7
9:30-10:15 Xiang Tang Superconnection and Orbifold Chern Character
10:30-11:15 Yanli Song The Large-Time Behavior of the Heat Kernel on Symmetric Spaces and Bismut's Formula
11:30-12:15 Peter Hochs The Equivariant Fried Conjecture for Suspension Flow
14:30-15:15 Nigel Higson Noncommutative Geometry of the Satake Compactification
15:30-16:15 Hao Guo Covering Complexity, Scalar Curvature, and Quantitative Index Theory
16:30-17:15 Hang Wang Euler Characteristic, Equivariant K-homology and Higher Kazhdan Projections
Friday, August 8
9:30-10:15 Yasuyuki Kawahigashi Tensor Networks in Condensed Matter Physics and Subfactors
10:30-11:15 Yosuke Kubota Stable Homotopy Theory of Invertible Quantum Spin Systems
11:30-12:15 Jianchao Wu Quasi-representations and a K-theoretic Invariant
14:00-14:45 Guoliang Yu Nonpositively Curved and Infinite Dimensional Spaces and the Novikov Conjecture
15:00-15:45 Zhizhang Xie On Gromov's Dihedral Rigidity Conjecture of Scalar Curvature
16:00-16:45 Jinmin Wang Dihedral Rigidity and Index Theory on Manifolds with Polyhedral Boundary