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401-4144-22L 4 Credits MSC D-MATH

Moduli of Stable Bundles on Curves

Lecturers & Examiners: Dr. Woonam Lim

VVZ CR n/a

Last Updated: 2026-02-05 16:06:47

Abstract

We discuss various features of moduli space of stable bundles on curves, including cohomology of moduli spaces and Verlinde formulas.

Objective

To understand the geometry of moduli of stable bundles using various tools in moduli theory.

Content

- coherent sheaf - stability - moduli functor - deformation theory - tautological class - intersection theory - Verlinde formula See the course website https://people.math.ethz.ch/~woolim/teaching%201.html for details.

General Information

Language: English
Levels: MSC

Examination

Type: session examination
Mode: written 120 minutes
Aids: It is an open book exam.

The exam is only offered in the examination session immediately following the course. In particular, no repetition exam can be offered.

Course Components

Type	Title	Time & Place	Hours
lecture	Moduli of Stable Bundles on Curves	Tue 14:15-16:00 (HG E 21)	2 h weekly

Offered In

Mathematics Master
- Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  - Electives: Pure Mathematics
    - Selection: Geometry