Talks

Log-free curves for Generalized Lamé Equations and Combinatorial Structure

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Po-Sheng Wu (National Taiwan University)
2026-04-27 16:00 - 17:00
Room 202, Astronomy and Mathematics Building

In this talk we will continue the topic on generalized Lamé equations. We will describe the loci of such equations with log-free solutions, which is named log-free curves. We will explore the geometry of such curves, including degree and genus counting, and the relations between the generalized Lamé curves and log-free curves in terms of monodromies. We will also describe a combinatorial structure of the flat geometry on the elliptic curve given by such equations, and its applications to the cases with a small number of singularities.

This is a joint work with Prof. Chin-Lung Wang and You-Cheng Chou. This is the second talk of the series, after You-Cheng Chou's first talk.