Orbifold Jet Differentials and Hyperbolicity Conjectures

Orbifold Jet Differentials and Hyperbolicity Conjectures

Explore orbifold jet differentials and their implications in algebraic geometry through this conference talk by Lionel Darondeau from KU Leuven. Delve into the generalization of classical hyperbolicity conjectures and understand why Demailly's result on algebraic degeneracy of entire curves for varieties of general type does not extend to the orbifold context. Examine the concept of jet differentials in both classical and orbifold settings, and gain insights from joint works with Frédéric Campana, Jean-Pierre Demailly, and Erwan Rousseau. This 1-hour 7-minute presentation offers a deep dive into advanced mathematical concepts, suitable for researchers and graduate students in algebraic geometry and related fields.