Speaker: Sujoy Chakraborty
Time: Monday 20th July 4 to 5pm (joining time 3.50pm)
Google Meet Link:
https://meet.google.com/ubd-taca-nio
Title: Moduli of Parabolic bundles over a curve and its first rational
Chow group
Abstract: In this talk, we will aim to study the rational Chow group of
1-cycles for the moduli of semistable Parabolic bundles of fixed rank,
determinant and weight over a curve. Chow groups are interesting and
important objects to study for various reasons. Unfortunately, not much is
known about the Chow groups for various moduli space of semistable vector
bundles of a fixed rank and determinant over a curve. We will first
discuss the notions related to Parabolic bundles and their moduli, and
study the effect on Chow group of 1-cycles as we vary the generic weight.
As a consequence, we can get an explicit description of the Chow group of
1-cycles in a particular case of rank 2 Parabolic bundles, extending an
earlier result of I. Choe and J. Hwang.