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Algebraic Geometry Seminar - Nicola Tarasca

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February 20, 2018
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2018-02-20 15:00:00 2018-02-20 16:00:00 Algebraic Geometry Seminar - Nicola Tarasca Title: Hyperelliptic loci in moduli spaces of curves Speaker: Nicola Tarasca (Rutgers University) Abstract: In this talk, I will discuss results on the enumerative geometry of subvarieties of moduli spaces of curves. I will present a formula for effective classes of loci of genus-two stable curves with marked Weierstrass points. The formula is expressed as a sum over stable graphs indexing boundary strata of moduli spaces of pointed curves. This result follows by analyzing the interplay of geometry and combinatorics of curves and their moduli. This is a first step in the study of the structure of hyperelliptic classes in all genera. — Joint work with Renzo Cavalieri. Seminar URL: https://research.math.osu.edu/agseminar/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Hyperelliptic loci in moduli spaces of curves

Speaker: Nicola Tarasca (Rutgers University)

Abstract: In this talk, I will discuss results on the enumerative geometry of subvarieties of moduli spaces of curves. I will present a formula for effective classes of loci of genus-two stable curves with marked Weierstrass points. The formula is expressed as a sum over stable graphs indexing boundary strata of moduli spaces of pointed curves. This result follows by analyzing the interplay of geometry and combinatorics of curves and their moduli. This is a first step in the study of the structure of hyperelliptic classes in all genera. — Joint work with Renzo Cavalieri.

Seminar URLhttps://research.math.osu.edu/agseminar/

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