Algebraic Geometry Seminar: Real regulator maps with finite 0-locus

Speaker: RJ Acuña(SIMIS)

Time: 2025-11-07 10:30-11:30
Location: 910, SIMIS

Abstract: A Laurent polynomial in two variables is tempered if its edge polynomials are cyclotomic. Variation of coefficients leads to a family of smooth complete genus g curves carrying a canonical algebraic K_2-class over a g-dimensional base , hence to an extension of admissible variations of MHS (or normal function) on S. We prove that the ℝ-split locus of this extension is finite. Consequently, the torsion locus of the normal function and the A-polynomial locus for the family of curves are also finite.


About Speaker: RJ Acuña is right now a Postdoc at SIMIS. He obtained his Ph.D under the supervision of Prof. Matt Kerr from Washington University in St. Louis in 2025.

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