Lecture Announcement
-- Note the unusual time ---
Date: Tuesday, 22 November, 2022.
Time: 2:30 PM. The talk will have two 45-minute parts with a break in between.
Venue: Lecture Hall 1
Desingularisations of moduli spaces of semistable principal bundles
V. Balaji
Chennai Mathematical Institute.
22-11-22

---

Abstract

Around 1975-76, Narasimhan and Ramanan and independently, Seshadri constructed desingularizations of the moduli space $M^{ss}_{_{\text{SL}(2)}}$ of semistable $\SL(2)$-bundles on a smooth projective curve $C$ of genus $g \geq 3$. Seshadri's construction was even modular and canonical. In this talk, I will show a construction of a smooth modular compactification of the moduli of stable principal $H$-bundles when $H$ is a simply connected almost simple algebraic group of type ${\tt B}_{_n}, {\tt D}_{_n}, {\tt G}_{_2}, {\tt F}_{_4}$. This gives desingularisations of the moduli space $M^{ss}_{_H}$ of semistable principal $H$-bundles and thereby, a comprehensive generalisation of the results of Seshadri.