Torelli-type theorems

Abstract: In this talk, I will present some Torelli-type theorems concerning moduli spaces of parabolic vector bundles and logarithmic connections over an elliptic curve. In the case of vector bundles, we extend a classical theorem of D. Mumford and P. Newstead to the parabolic context (joint work with Luana Justo). For connections, we recover the spectral data from the symplectic structure of the moduli space (joint work with Frank Loray and Alan Muniz).

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

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Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w