Geometry and Topology Seminar: Minimal Surface Entropy of Hyperbolic Manifolds

报告人: Ruojing Jiang from MIT

摘要: I will discuss the definition of minimal surface entropy and review the results for both closed hyperbolic 3-manifolds and the finite volume case. On one hand, for metrics with sectional curvature no greater than -1, the entropy achieves its minimum value if and only if it is hyperbolic. On the other hand, among all metrics with scalar curvature bounded from below by -6, the entropy reaches its maximum at the hyperbolic metric.

时间: 4 p.m., Friday, December 20, 2024

地点: Room 1610, SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

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