|Location:||MSRI: Simons Auditorium, Online/Virtual|
GT Graduate Student Seminar: A New Construction Of 4-Dimensional Hyperkähler ALE Spaces Via Gauge Theory
To participate in this seminar, please register HERE.
Non-compact hyperkähler spaces arise frequently in gauge theory. The 4-dimensional hyperkähler ALE spaces are a special class of non-compact hyperkähler spaces. They are in one-to-one correspondence with the finite subgroups of SU(2) and have interesting connections with representation theory and singularity theory. A question to ask is whether these spaces arise in gauge theory.
In this talk, we first review the finite-dimensional construction of 4-dimensional hyperkähler ALE spaces given by Peter Kronheimer in his PhD thesis. Then we give a new construction of these spaces via gauge theory.
No Notes/Supplements Uploaded