Hitchin connection for parabolic bundles

Swarnava Mukhopadhyay (Tata Institute of Fundamental Research)

22-Jul-2021, 11:00-12:00 (3 years ago)

Abstract: In a fundamental paper in1990, Hitchin considered the space of non-abelian theta functions/conformal blocks/Verlinde spaces from the view point of geometric-quantization (Konstant-Kirillov-Soureau) for the moduli space of principal bundles on a smooth projective curve. Hitchin found a flat projective connection that can be interpreted as identification of these spaces via a parallel transport along a path joining different curves in the Teichmuller space. In this talk, we will discuss a generalization of Hitchin's construction to the parabolic set-up. Namely we consider punctured curves and the moduli space of parabolic $G$ bundles and produce a flat projective connection that identifies sections of parabolic determinant bundles as the puncture curve varies. This is a joint work with Indranil Biswas and Richard Wentworth.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar

Times vary to accommodate speakers time zones but times will be announced in GMT time.

Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
*contact for this listing

Export talk to