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SUMMARY:Swarnava Mukhopadhyay (Tata Institute of Fundamental Research)
DTSTART:20210722T110000Z
DTEND:20210722T120000Z
DTSTAMP:20260423T040000Z
UID:ZAG/140
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/140/">Hi
 tchin connection for parabolic bundles</a>\nby Swarnava Mukhopadhyay (Tata
  Institute of Fundamental Research) as part of ZAG (Zoom Algebraic Geometr
 y) seminar\n\n\nAbstract\nIn a fundamental paper in1990\, Hitchin consider
 ed the space of non-abelian theta functions/conformal blocks/Verlinde spac
 es from the view point of geometric-quantization (Konstant-Kirillov-Sourea
 u) for the moduli space  of principal  bundles on a smooth projective curv
 e. Hitchin found a flat projective connection that can be interpreted as i
 dentification of these spaces via a parallel transport along a path joinin
 g different curves in the Teichmuller space. In this talk\, we will discus
 s a generalization of Hitchin's construction to the parabolic set-up. Name
 ly we consider punctured curves and the moduli space of parabolic $G$ bund
 les and produce a flat projective connection that identifies sections of p
 arabolic determinant bundles as the puncture curve varies. This is a joint
  work with Indranil Biswas and Richard Wentworth.\n
LOCATION:https://researchseminars.org/talk/ZAG/140/
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