Speaker: |
Qizheng Yin (ETH Zurich) |
Title: |
Curves and cycles on K3 surfaces |
Date (JST): |
Tue, Feb 07, 2017, 13:15 - 14:45 |
Place: |
Seminar Room A |
Abstract: |
We review curve counting theories on K3 surfaces, and explain the use of curve counting in the study of algebraic cycles on K3 surfaces & on the moduli of K3 surfaces. We give a proof of the Marian-Oprea-Pandharipande conjecture: the ring of tautological cycles on the moduli of K3 surfaces is generated by the classes of Noether-Lefschetz loci. Joint work with Rahul Pandharipande. |