Arithmetic and geometry of Brill--Noether loci of curves

Abstract: Given an abstract curve $C$, the explicit realizations of $C$ in projective spaces are parameterized by the Brill--Noether loci of $C$. In this talk, we will explore some natural questions about the geometry and arithmetic of Brill--Noether loci.

Computer sciencealgebraic geometrynumber theory

Audience: researchers in the topic

( chat | video )

Comments: This invited talk by Isabel Vogt was chaired by Andrew Sutherland.

---

Algorithmic Number Theory Symposium (ANTS XIV)

Series comments: Registration is now open. Registration is free but required to access the chat and livestream.

This is a hybrid synchronous/asynchronous conference with several ways to participate.

• Click the "paper" link to view contributed papers and posters (open to all).
• Click the "video" link to view pre-recorded talks of accepted papers (open to all).
  These are 15-20 minutes aimed at a general algorithmic number theory audience.
• Click the "slides" link to view slides used in the pre-recorded video when available (open to all).
• Click the "chat" link to access the chat stream related to the talk or poster before, during, and after the live event (registration required).
• Click the "livestream" button to join the live event when it is taking place (registration required and you must be logged in).
  For accepted papers the audience will be expected to have watched the pre-recorded video and have the paper in front of them.

The invited talks will be recorded and made available via the "video" link after the talk is over. None of the other sessions will be recorded.

---