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Moduli Spaces

Author: Cambridge University

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Description

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/
140 Episodes
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Vector bundles and coherent systems on nodal curves

Vector bundles and coherent systems on nodal curves

2011-07-2552:28

Bhosle, U (TIFR) Thursday 09 June 2011, 14:00-15:00
Higgs bundles and quaternionic geometry

Higgs bundles and quaternionic geometry

2011-07-0401:05:32

Hitchin, NJ (Oxford) Friday 01 July 2011, 11:30-12:30
Moduli spaces of locally homogeneous geometric structures

Moduli spaces of locally homogeneous geometric structures

2011-07-0401:04:39

Goldman, W (Maryland) Friday 01 July 2011, 10:00-11:00
Bridgeland stability conditions and Fourier-Mukai transforms

Bridgeland stability conditions and Fourier-Mukai transforms

2011-07-0101:03:12

Yoshioka, K (Kobe) Thursday 30 June 2011, 16:30-17:30
Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

2011-07-0129:43

Logares, M (ICMAT) Thursday 30 June 2011, 15:20-15:50
Derived equivalences of Azumaya algebras on K3 surfaces

Derived equivalences of Azumaya algebras on K3 surfaces

2011-07-0130:29

Khalid, M (St. Patrick's College Drumcondra) Thursday 30 June 2011, 14:40-15:10
Derived categories and rationality of conic bundles

Derived categories and rationality of conic bundles

2011-07-0126:56

Bolognesi, M (Rennes 1) Thursday 30 June 2011, 14:00-14:30
Stability conditions for the local projective plane

Stability conditions for the local projective plane

2011-07-0152:06

Bayer, A (Connecticut) Thursday 30 June 2011, 11:30-12:30
Kahler-Einstein metrics and Geometric Invariant Theory

Kahler-Einstein metrics and Geometric Invariant Theory

2011-07-0101:06:18

Donaldson, S (Imperial) Thursday 30 June 2011, 10:00-11:00
Introduction to moduli of varieties - IV: Surfaces of general type related to abelian varieties and hyperplane arrangements

Introduction to moduli of varieties - IV: Surfaces of general type related to abelian varieties and hyperplane arrangements

2011-07-0101:05:24

Alexeev, V (Georgia) Thursday 13 January 2011, 15:30-16:30
Monopoles on the product of a surface and the circle

Monopoles on the product of a surface and the circle

2011-06-3001:06:22

Hurtubise, J (McGill) Wednesday 29 June 2011, 11:30-12:30
Vortices on Riemann Surfaces

Vortices on Riemann Surfaces

2011-06-3001:05:08

Manton, N (Cambridge) Wednesday 29 June 2011, 10:00-11:00
Rank two Brill-Noether theory and the birational geometry of the moduli space of curves

Rank two Brill-Noether theory and the birational geometry of the moduli space of curves

2011-06-3001:06:31

Farkas, G (Humboldt) Tuesday 28 June 2011, 16:30-17:30
Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

2011-06-3026:23

Iena, O (SISSA) Tuesday 28 June 2011, 15:20-15:50
Topology of moduli spaces of vector bundles on a real algebraic curve

Topology of moduli spaces of vector bundles on a real algebraic curve

2011-06-3031:19

Schaffhauser, FMR (Los Andes) Tuesday 28 June 2011, 14:40-15:10
Moduli of plane sheaves supported on curves of low multiplicity

Moduli of plane sheaves supported on curves of low multiplicity

2011-06-2929:10

Maican, M (IMRA) Tuesday 28 June 2011, 14:00-14:30
Brill-Noether theory for vector bundles with fixed determinant

Brill-Noether theory for vector bundles with fixed determinant

2011-06-2956:03

Teixidor i Bigas, M (Tufts) Tuesday 28 June 2011, 11:30-12:30
Geometric unitarity of the KZ/Hitchin connection on conformal blocks in genus 0

Geometric unitarity of the KZ/Hitchin connection on conformal blocks in genus 0

2011-06-2959:58

Belkale, P (North Carolina) Tuesday 28 June 2011, 10:00-11:00
Refined curve counting on algebraic surfaces

Refined curve counting on algebraic surfaces

2011-06-2901:02:01

Goettsche, L (ICTP) Monday 27 June 2011, 16:30-17:30
Compactifications of reductive groups as moduli stacks of bundles

Compactifications of reductive groups as moduli stacks of bundles

2011-06-2936:00

Martens, J (Aarhus) Monday 27 June 2011, 15:20-15:50
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