Geometry Seminar

Algebro-geometric aspects of Lie algebroid connections over a curve

Speaker:  Anoop Singh (IIT BHU Varanasi)
Date:  Thursday, 01 October 2026 - 11:30
Place:  Aula Naranja, ICMAT

Abstract:

Lie algebroids provide a common framework for several geometric structures, including tangent bundles, foliations, Atiyah algebroids, and logarithmic tangent bundles. In this talk, we discuss Lie algebroid connections on vector bundles over a compact Riemann surface. We present a criterion for the existence of Lie algebroid connections and discuss some of its geometric consequences. We then consider the moduli space of Lie algebroid connections and explore some of its algebro-geometric properties.

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