Wobbly bundles over curves

Time: 9:30 -- 11: 00, May 28, 2025

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: A very stable vector bundle over a curve is a vector bundle having no non-zero nilpotent Higgs fields. They were introduced by Drinfeld and studied by Laumon in connection with the nilpotent cone of the Hitchin system. According to Drinfeld non-very stable bundles, also called wobbly bundles, form a divisor in the moduli space of
vector bundles. In this talk I will try to explain the motivations for studying the properties of wobbly divisors, with a special focus on the low rank cases.