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B.O.W.L.

An online geometry seminar run by the groups in Brussels, Oxford, Warwick and London

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15-06-21Laura Fredrickson (Oregon)

Laura Fredrickson will talk on 15th June at 4pm UK time, 5pm Belgian time. Please note the unusual time! Laura’s title is “ALG gravitational instantons and Hitchin moduli spaces” and her abstract is below.

ALG gravitational instantons and Hitchin moduli spaces

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.  

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