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The tropical zeta function is an invariant integral over a convex body, and its poles reflect the geometry of the boundary

发布时间:2026-10-08

报告人 时间 16:00-18:00
地点 E14-301 年 2026
月日 10-09 重复类型 无
重复结束日期

时间:2026年10月9日(星期五)16:00-18:00

地点:E14-301


主讲人:Nikita Kalinin, Guangdong Technion-Israel Institute of Technology

报告主题:The tropical zeta function is an invariant integral over a convex body, and its poles reflect the geometry of the boundary

报告摘要:In the plane, after a simple normalization, it is controlled by a canonical rational-slope model and the sizes of unimodular corner cuts. Equivalently, along each boundary arc, it is described by Hata-basis coefficients of the Legendre dual. For a smooth strictly convex planar boundary with nonzero curvature, the zeta function has a simple pole at two-thirds, with residue a universal constant times the equiaffine boundary length.



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