Recent Developments in the Mathematical study of Gauge Theory: October 17 – 21, 2016

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Organized by: Simon Donaldson, Kenji Fukaya, and John Morgan,

Attendee ListDownload Talk ScheduleVideos

Recent Developments in the Mathematical Study of Gauge Theory: The workshop will focus on geometrical and analytical aspects Gauge Theories beyond the `classical’ cases of SU(2)- and SO(3)-gauge theory in dimensions 3 and 4. Topics will include gauge theory on complex manifolds and on manifolds with exceptional holonomy, the Kapustin-Witten equation and its connections with Khovanov homology, and gauge theory with non-compact gauge groups and coupled equations such as the Vafa-Witten equations. Problems of compactness and singularity formation will be among the themes of the workshop.

Talk Schedule


Time Title Presenter Location
9:30am Fixed-point Floer homology in spaces of stable pairs over a Riemann surface Timothy Perutz SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Donaldson-Thomas gauge theory for Calabi-Yau 4-folds Yalong Cao SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm ASD connections and mean dimension Shinichiroh Matsuo SCGP 102
3:30pm Tea Time N/A SCGP Lobby
4:00pm Long-time existence for Yang-Mills flow Alex Waldron SCGP 102


Time Title Presenter Location
9:00am Some analytic aspects of the Kapustin-Witten equations with Nahm pole boundary conditions Rafe Mazzeo SCGP 102
10:00am Coffee Break N/A SCGP Cafe
10:30am Sutures and Higher Rank Bundles Aliakbar Daemi SCGP 102
11:30am Lunch N/A SCGP Cafe
1:00pm An approach to the Four Color Theorem via Gauge Theory and Three Manifold Topology Tom Mrowka SCGP 102
2:15pm Limits and bubbling sets for the Yang-Mills flow on Kähler manifolds Benjamin Sibley SCGP 102
3:30pm Tea Time N/A SCGP Lobby


Time Title Presenter Location
9:30am G2-instantons over twisted connected sums Thomas Walpuski SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Analysis of Yang-Mills Instantons on multi-Taub-NUT and Bows Sergey Cherkis SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm Crossed and spiked instantons, and the Compactness theorem Nikita Nekrasov SCGP 102
3:30pm Tea Time N/A SCGP Lobby


Time Title Presenter Location
9:30am Topology of the blow up locus for the Seiberg-Witten equation Andriy Haydys SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Seiberg-Witten monopoles with multiple spinors on a surface times a circle Aleksander Doan SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm APS-type index theorem and the zero loci of Z/2 harmonic spinors Ryosuke Takahashi SCGP 102
3:30pm Tea Time N/A SCGP Lobby
4:00pm G2–instantons and Associative Submanifolds in String and M Theory Bobby Acharya SCGP Cafe
5:00pm Banquet N/A SCGP Cafe


Time Title Presenter Location
9:30am Hermitian-Yang-Mills connections over asymptotically cylindrical Kahler manifolds Adam Jacob SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Algebro-geometric bubble-tree compactification of moduli of rank 2 bundles over algebraic surfaces Dimirti Markushevich SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm A critical elliptic theory and its applications in higher-dimensional gauge theory Yuanqi Wang SCGP 102