Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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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.
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