Mathematical Sciences Research Institute

Home » Workshop » Schedules » Compactifying moduli of line bundles on curves

Compactifying moduli of line bundles on curves

Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019

May 10, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Joseph Harris (Harvard University)
Location: MSRI: Simons Auditorium
  • moduli

  • curves

  • line bundles

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



The problem discussed in this talk is to compactify the moduli space of pairs (C,L) with C a smooth projective curve of genus g and L a line bundle of degree d on C. Such a compactification was first found by Caporaso a quarter century ago, but there is an obstruction to the existence of a universal family over it. We'll describe this obstruction, and attempts by Ran and Mainò to deal with it.

Asset no preview Notes 2.15 MB application/pdf Download
Video/Audio Files


H.264 Video 869_26616_7741_18-Harris.mp4
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.