Wobbly bundles over curves
Speaker: Christian Pauly (Université de Nice Sophia Antipolis)
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.
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