"Non UBC"@en .
"DSpace"@en .
"Meneses, Claudio"@en .
"2019-03-29T10:01:30Z"@en .
"2018-07-04T10:31"@en .
"Moduli spaces of stable vector bundles carry a natural K\u00C3\u00A4hler structure, described originally in the Riemann surface case by Narasimhan and in the pioneering work of Atiyah-Bott. Such a K\u00C3\u00A4hler structure is in many ways analogous to the Weil-Petersson metric on moduli spaces of Riemann surfaces, for which a deep relationship with the Liouville functional in Conformal Field Theory was established by Takhtajan and Zograf.\n\nIn this talk I will describe work in progress on how the ideas of Takhtajan-Zograf can be adapted to vector bundles in three different settings: moduli of stable parabolic bundles in genus 0 and 1, moduli of semistable bundles in genus 1, and Jacobians. In all cases the main tool is an adaptation of the WZNW action of Conformal Field Theory---defined by twisting the so-called chiral models with a topological term---to a functional on singular hermitian metrics on a suitable holomorphic gauge. I will also describe briefly how the previous results can be generalized to moduli spaces of parabolic Higgs bundles."@en .
"https://circle.library.ubc.ca/rest/handle/2429/69333?expand=metadata"@en .
"49.0"@en .
"video/mp4"@en .
""@en .
"Author affiliation: University of Kiel"@en .
"Oaxaca (Mexico : State)"@en .
"10.14288/1.0377651"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Postdoctoral"@en .
"BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))"@en .
"Mathematics"@en .
"Differential geometry"@en .
"Global analysis, analysis on manifolds"@en .
"WZNW actions, holomorphic gauges, and the K\u00C3\u00A4hler structure of moduli spaces"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/69333"@en .