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SUMMARY:Ana Peón-Nieto (Birmingham/Côte d'Azur)
DTSTART:20201120T100000Z
DTEND:20201120T110000Z
DTSTAMP:20260423T041351Z
UID:notts_ag/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/37/
 ">Pure codimensionality of wobbly bundles</a>\nby Ana Peón-Nieto (Birming
 ham/Côte d'Azur) as part of Online Nottingham algebraic geometry seminar\
 n\n\nAbstract\nHiggs bundles on smooth projective curves were introduced b
 y Hitchin as solutions to gauge equations motivated by physics. They can b
 e seen as points of $T^*N$\, where N is the moduli space of vector bundles
  on the curve. The topology of the moduli space of Higgs bundles is determ
 ined by the nilpotent cone\, which is a reducible scheme containing the ze
 ro section of $T^*N\\dashrightarrow N$. Inside this section\, wobbly bundl
 es are particularly important\, as this is the locus where any other compo
 nent intersects $N$. In fact\, this implies that the geometry of the nilpo
 tent cone can be described in terms of wobbly bundles. In this talk I will
  explain an inductive method to prove pure codimensionality of the wobbly 
 locus\, as announced in a paper by Laumon from the 80's. We expect our met
 hod to yield moreover a description of the irreducible components of the n
 ilpotent cone in arbitrary rank.\n
LOCATION:https://researchseminars.org/talk/notts_ag/37/
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