Constructions in Hyperkahler Geometry
Hyperkahler manifolds form an extremely symmetric class of manifolds of great importance throughout mathematics and physics. I'll introduce their basic properties before indicating many examples of known constructions. Finally, I hope to detail Gaiotto-Moore-Neitzke's conjectural description of Hitchin moduli spaces.
Lecturer
Arnav Tripathy
Date
14th September ~ 19th December, 2022
Website
Prerequisite
Differential geometry, basic complex analysis.
Audience
Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Dr. Tripathy is a researcher interested in the geometry of string theories and supersymmetric field theories.