Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Eric Boulter, Department of Pure Mathematics, University of Waterloo
"Smooth and Compact Moduli Spaces of Sheaves on Kodaira Surfaces"
Holomorphic symplectic manifolds are an important class of complex manifolds for the classification of manifolds with trivial first Chern class, as well as for several physics applications. However, it is notoriously difficult to find compact examples of holomorphic symplectic manifolds. In 2001, Toma proved a sufficient condition for a moduli space of coherent sheaves with fixed determinant bundle and Chern character over a Kodaira surface to be a compact holomorphic symplectic manifold. In this talk we show that moduli spaces satisfying Toma’s condition occur in all possible dimensions and analyze a natural fibration on these moduli spaces to partially determine their structure for moduli spaces with dimension at most 6.
Zoom meeting: https://zoom.us/j/93859138328
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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