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ALG Gravitational Instantons and Hitchin Moduli Spaces
Mathematical Physics Seminar| Speaker: | Laura Fredrickson, University of Oregon |
| Related Webpage: | https://math.uoregon.edu/profile/lfredric |
| Location: | Meeting ID: 951 6481 0258 |
| Start time: | Fri, Mar 5 2021, 11:00AM |
This term we focus on "Inspiration from Physics to Mathematics." The speaker's abstract:
Four-dimensional complete hyperkaehler manifolds can be classified into ALE, ALF, ALG, ALG*, ALH, ALH* families. It has been conjectured that every ALG or ALG* hyperkaehler metric can be realized as a 4d Hitchin moduli space. I will describe ongoing work with Rafe Mazzeo, Jan Swoboda, and Hartmut Weiss to prove a special case of the conjecture, and some consequences. The hyperkaehler metrics on Hitchin moduli spaces are of independent interest, as the physicists Gaiotto–Moore–Neitzke give an intricate conjectural description of their asymptotic geometry.
The Zoom Meeting Room opens at 10:45am. The meeting is passcode protected. The passcode is the pseudo-TeX-like form of the standard symplectic form of the oriented xy-plane, using ^ in place of wedge. Thus it consists of 7 characters starting from $.