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401-4144-DRL 2 Credits DR D-MATH

Moduli of Stable Bundles on Curves

Lecturers & Examiners: Dr. Woonam Lim
Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.
VVZ CR n/a

Last Updated: 2026-02-05 16:07:26

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
DR

Examination

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

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

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

  • Doctorate Mathematics (More Information at: )
    • Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
      • Graduate School (Official website of the Zurich Graduate School in Mathematics: In addition to the 401-....-DRL course units, adapted versions for doctoral students of the following course units: 263-4400-00L Advanced Graph Algorithms and Optimization 401-3902-21L Network & Integer Optimization: From Theory to Application 401-3904-22L Convex Optimization 401-3629-00L Quantitative Risk Management 401-3652-00L Numerical Methods for Hyperbolic Partial Differential Equations 151-0530-00L Nonlinear Dynamics and Chaos II 227-0434-10L Mathematics of Information 401-4490-22L Topology Optimization of Engineering Systems ... (continued ))