Mon, July 20, 2020
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4:00pm [4:00pm] Sujoy Chakraborty
Description:
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.

5:00pm  
6:00pm