Mod(M^4) minicourse

August 4-7, 2022

LECTURE NOTES

    Lecture 1 (notes by Peter Huxford)
    Lecture 2 (notes by Peter Huxford)
    Lecture 3 (notes by Peter Huxford)
    Lecture 4 (notes by Sidhanth Venkat Raman)
    Lecture 5 (notes by Sidhanth Venkat Raman)
    Lecture 6 (notes by Sidhanth Venkat Raman)
    Lecture 9-10 (notes by Lei Chen)
    Lecture 11 (notes by Lei Chen)
    Typed out Lectures 1-11 (by Seung uk Jang)

PROBLEM LISTS

    Some open problems on mapping class groups of del Pezzo surfaces (by Seraphina lee)

    Farb-Looijenga, Problems on mapping class groups of 4-manifolds, coming soon.

READINGS

    Scorpan, Chapter 3
    Lee, Isotopy classes of involutions of del Pezzo surfaces (preprint, 2022)
    Lee, The Nielsen realization problem for high degree del Pezzo surfaces (preprint, 2021)
    Farb-Looijenga, The Nielsen Realization Problem for K3 surfaces (to appear in J. Diff Geom.)
    Lee, Handout on maximal parabolic subgroups of O(1,9)(Z)

EXERCISES

    Exercises, 1
    Exercises, 2
    Exercises, 3

Discord Server

Click the link here for group chats, administrative and mathematical questions. I encourage people to ask questions, and also to answer them!     Group Discussion


FROM JULY LECTURES

    Lecture 1 video
    Lecture 1 notes
    Lecture 1 problems
    Lecture 2 video
    Lecture 2 notes
    Lecture 2 problems
    e^2=-1 proof
    Lecture 3 video
    Lecture 3 notes
    Lecture 3 problems

INFORMATION FOR MINICOURSE

    Schedule of talks
    Discussion groups