The space of metrics on an algebraic variety

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Speaker: 
Ben Weinkove
Institution: 
Northwestern University
Time: 
Thu, 11/09/2017 - 4:00pm - 5:00pm
Host: 
Xiangwen Zhang
Location: 
RH 306

 The space of (Kahler) metrics on a projective algebraic variety can be given a natural infinite dimensional Riemannian structure.  This leads to the notion of a geodesic in the space of metrics.  I will discuss a recent result on the optimal regularity of these geodesics and how this relates to nonlinear PDEs and canonical metrics.  This is joint work with J. Chu and V. Tosatti.