Aspects of Moduli Theory

seminar: The birational geometry of moduli spaces of curves with level structure

speaker: Gavril Farkas (Humboldt University Berlin)

abstract: Moduli of curves with level structure provide an interesting correspondence between the moduli spaces of curves and abelian varieties respectively. Using Koszul-theoretic methods we prove that the moduli space R_g of Prym varieties of dimension g-1 is of general type for g>13 and that the moduli space S_g of spin curves is of general type for g>8. In contrast we show that S_g has negative Kodaira dimension for g<8.

timetable:
Mon 23 Jun, 14:00 - 15:00, Aula Dini
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