Wednesdays 46pm  Arnimallee 6, SR 025/026. ( 16th October 2013  15th February 2014 )
During this semester we will continue our seminar on Higgs Bundles (see previous seminar and infohere). The main objective is to understand
Hitchin's original paper:
[Hi87] N.Hitchin, The selfduality equations on a Riemann surface,
Proc. London Math. Soc. 55 (1987), 59126.
Schedule 2013  

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16.10.2013 // Eva Martínez  Moduli spaces of stable rank 2 vector bundles on flag manifolds
 
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23.10.2013 // Arijit Dey  Bundles on toric variety
 
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30.10.2013 // Ángel Muñoz  Hitchin’s selfduality equations
 
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06.11.2013 // Vincent Trageser  Review of classical Sobolev theory
 
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13.11.2013 // Eva Martínez  Sobolev spaces of sections in fiber bundles
 
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20.11.2013 // Joana Cirici  Uhlenbeck’s compactness theorem
 
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27.11.2013 // Ángel Muñoz  Stability of Hitchin pairs
 
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04.12.2013 // Joana Cirici  Hitchin's Existence Theorem
 
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11.12.2013 // Nikolai Beck  The gauge theoretic moduli space
 
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18.12.2013 // Anna Wißdorf  Betti numbers of the moduli space of Higgs bundles of rank 2 and degree 1

Schedule 2014  

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08.01.2014 // Victoria Hoskins  Towards symplectic and hyperkähler quotients for nonreductive groups
 
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15.01.2014 // Eva Martínez  Introduction to Arakelov Geometry I: Arakelov vector bundles over arithmetic curves
 
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22.01.2014 // Anna Wißdorf  Introduction to Arakelov Geometry II: Arakelov principal bundles
 
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05.02.2014 // Nikolai Beck  Wonderful compactifications
 
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12.02.2014 // Anna Wißdorf  The theorem of MehtaRamanathan
