Logo

Mathematical Sciences Research Institute

Home » GT Graduate Student Seminar: A New Construction of 4-Dimensional Hyperkähler ALE Spaces via Gauge Theory

Seminar

GT Graduate Student Seminar: A New Construction of 4-Dimensional Hyperkähler ALE Spaces via Gauge Theory October 18, 2022 (10:00 AM PDT - 11:00 AM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Jiajun Yan (University of Virginia)
Description No Description
Video

GT Graduate Student Seminar: A New Construction Of 4-Dimensional Hyperkähler ALE Spaces Via Gauge Theory

Abstract/Media

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

GT Graduate Student Seminar: A New Construction Of 4-Dimensional Hyperkähler ALE Spaces Via Gauge Theory