Moduli Spaces Cambridge University
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- Education
Algebraic geometry is a key area of mathematical research of international significance. It has strong connections with many other areas of mathematics (differential geometry, topology, number theory, representation theory, etc.) and also with other disciplines (in the present context, particularly theoretical physics). Moduli theory is the study of the way in which objects in algebraic geometry (or in other areas of mathematics) vary in families and is fundamental to an understanding of the objects themselves. The theory goes back at least to Riemann in the mid-nineteenth century, but moduli spaces were first rigorously constructed in the 1960s by Mumford and others. The theory has continued to develop since then, perhaps most notably with the infusion of ideas from physics after 1980.
Read more at: http://www.newton.ac.uk/programmes/MOS/
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Vector bundles and coherent systems on nodal curves
Bhosle, U (TIFR)
Thursday 09 June 2011, 14:00-15:00 -
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Higgs bundles and quaternionic geometry
Hitchin, NJ (Oxford)
Friday 01 July 2011, 11:30-12:30 -
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Moduli spaces of locally homogeneous geometric structures
Goldman, W (Maryland)
Friday 01 July 2011, 10:00-11:00 -
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Bridgeland stability conditions and Fourier-Mukai transforms
Yoshioka, K (Kobe)
Thursday 30 June 2011, 16:30-17:30 -
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Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.
Logares, M (ICMAT)
Thursday 30 June 2011, 15:20-15:50 -
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Derived equivalences of Azumaya algebras on K3 surfaces
Khalid, M (St. Patrick's College Drumcondra)
Thursday 30 June 2011, 14:40-15:10