Contents Preface vii 2013 Midwest Geometry Conference (MGC XIX) Talks ix Plateau Problems in Metric Spaces and Related Homology and Cohomology Theories Robert M. Hardt 1 Relating Equivariant and Motivic Cohomology via Analytic Currents Pedro F. dos Santos, Paulo Lima-Filho, and Robert M. Hardt 19 Braids and Symplectic Reidemeister Zeta Functions Weiping Li 41 Systoles of Surfaces and 3-Manifolds Lizhi Chen and Weiping Li 61 Ideal Theory and Classification on Isoparametric Hypersurfaces Quo-Shin Chi 81 The Hartogs Triangle in Complex Analysis Mei-Chi Shaw 105 Finite Volume Flows and Witten’s Deformation Wenchuan Hu 117 On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces Ralph Howard and Shihshu Walter Wei 127 Remarks on Stable Minimal Hypersurfaces in Riemannian Manifolds and Generalized Bernstein Problems Shihshu Walter Wei, Lina Wu, and Yongsheng Zhang 169 v
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