2013-06-052013-06-052010Hoffmann, N. (2010), 'The moduli stack of vector bundles on a curve', in Biswas, I., Kulkarni, R.S. & Mitra, S., Ramanujan Mathematical Society, Lecture Notes Series, Vol. 10, p 387-394.http://www.ramanujanmathsociety.org/publications/rms-lecture-notes-series/number10teichmullertheoryandmoduliproblemhttp://hdl.handle.net/10395/1932This expository text tries to explain brie y and not too technically the notions of stack and algebraic stack, emphasizing as an example the moduli stack of vector bundles on an algebraic curve.engUsed by permission © Ramanujan Mathematical Society, The definitive version of Ramanujan Mathematical Society, Lecture Notes Series, Vol. 10 is available at http://www.ramanujanmathsociety.org/publications/rms-lecture-notes-series/number10teichmullertheoryandmoduliproblemModuli stackVector bundlesAlgebraic stackAlgebraic curveArticle