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Seminar by Pabitra Barik

Date/Time: 
Tuesday, November 7, 2017 - 13:30 to 14:30
Venue: 
Seminar Room, School of Mathematical Sciences
Speaker: 
Pabitra Barik
Affiliation: 
IIT Madras
Title: 
Hitchin pairs on a singular curve

In this talk, we present the moduli problem of rank 2 torsion free Hitchin pairs of fixed Euler characteristic $\chi$ on a reducible nodal curve. We de- scribe the moduli space of the Hitchin pairs. We define the analogue of the classical Hitchin map and describe the geometry of general Hitchin fibre.
Time permits, talk on collaborated work with Balaji and Nagaraj on degeneration of moduli space of Hitchin pairs

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