Science & Technology

Suppose a group acts on a manifold and the action can be lifted to a principal bundle over it. We consider invariant connections and their gauge equivalence classes. When the base space is a single group orbit, the invariant connections were studied by H.C.Wang in the 1950s. We show that in general, the space of such connections decomposes according to elements in a group cohomology. We further study the geometry and analysis of the space of invariant connection.

7 Jul 2023
2pm - 3pm
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Where
Room 4475 (Lifts 25/26)
Speakers/Performers
Prof. Siye WU
National Tsing Hua University
Organizer(S)
Department of Mathematics
Contact/Enquiries
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Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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