Chennai Mathematical Institute

Seminars




PUBLIC VIVA-VOCE NOTIFICATION
2:00 pm, Lecture Hall 6
Hitchin pairs on a singular curve

Pabitra Barik
Chennai Mathematical Institute.
02-05-14


Abstract

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 describe the moduli space of the Hitchin pairs. We define the analogue of the classical Hitchin map and describe the geometry of general Hitchin fibre.