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What is ... the universal theta divisor?

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  • UserNicola Pagani (Liverpool)
  • ClockWednesday 10 February 2016, 14:15-15:15
  • HouseCMS MR4.

If you have a question about this talk, please contact Dr. J Ross .

The Jacobian varieties of smooth projective curves fit together to form a family over the moduli space of curves called universal Jacobian, and the theta divisors of these curves form a divisor in the universal Jacobian. I will explain how to construct extensions of the universal Jacobian and theta divisor over the moduli space of stable curves. The extensions depend on an extra stability parameter, and I will then study how the universal theta divisor varies with this parameter. This is a joint work with Jesse Kass.

This talk is part of the Algebraic Geometry Seminar series.

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