Algebraic Curves and Brill–Noether Theory, Geometry seminar talk by Turgay Akyar

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)

presents

Geometry Seminar of ICMS

11.03.2026
14:00, Sofia time

ICMS-Sofia, Room 278
Zoom: https://us02web.zoom.us/j/86186281353?pwd=6CARUygJaA3HiTNAt3norZQRFt8fIL.1

Algebraic Curves and Brill–Noether Theory

Turgay Akyar,
IMI-BAS

Abstract:

This will be a two-talk mini-series. In the first talk I will give a very gentle introduction to Brill–Noether theory for complex algebraic curves. I will start from the basic question: what kinds of functions can exist on a curve, and how many independent ones can we hope for?

After introducing some necessary concepts, I will explain the classical results of Brill–Noether theory, which give a simple criterion for when such functions should exist on a “typical” curve. The emphasis will be on ideas and examples rather than technical details.