@prefix vivo: .
@prefix edm: .
@prefix dcterms: .
@prefix dc: .
@prefix skos: .
@prefix ns0: .
vivo:departmentOrSchool "Non UBC"@en ;
edm:dataProvider "DSpace"@en ;
dcterms:creator "Julia Gordon"@en ;
dcterms:issued "2019-11-08T09:21:15Z"@en, "2019-05-11T09:12"@en ;
dcterms:description """There is a classical but not very well-known connection between counting objects that are in some sense `in the same class' but not isomorphic, and volume computations.
I will start by recalling the analytic class number formula, and the Minkowski-Siegel mass formula for the "number" of quadratic forms in a genus, as well as Tamagawa's reformulation of these results as a volume computation. Then I will discuss a similar formula for the number of elliptic curves in an isogeny class, and we will see that it can again appear in two versions: one is due to Gekeler (2003) and comes from probabilistic and equidistribution considerations, and the other is due to Langlands and Kottwitz and is based on a volume computation. Finally, I will talk about our recent generalization of Gekeler's result to counting principally polarized Abelian varieties, by `reverse engineering' the Langlands-Kottwitz formula."""@en ;
edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/72225?expand=metadata"@en ;
dcterms:extent "49.0 minutes"@en ;
dc:format "video/mp4"@en ;
skos:note ""@en, "Author affiliation: University of British Columbia"@en ;
dcterms:spatial "Banff (Alta.)"@en ;
edm:isShownAt "10.14288/1.0385128"@en ;
dcterms:language "eng"@en ;
ns0:peerReviewStatus "Unreviewed"@en ;
edm:provider "Vancouver : University of British Columbia Library"@en ;
dcterms:publisher "Banff International Research Station for Mathematical Innovation and Discovery"@en ;
dcterms:rights "Attribution-NonCommercial-NoDerivatives 4.0 International"@en ;
ns0:rightsURI "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en ;
ns0:scholarLevel "Researcher"@en ;
dcterms:isPartOf "BIRS Workshop Lecture Videos (Banff, Alta)"@en ;
dcterms:subject "Mathematics"@en, "Number Theory, Combinatorics, Arithmetic Number Theory"@en ;
dcterms:title "A product formula for isogeny classes of abelian varieties"@en ;
dcterms:type "Moving Image"@en ;
ns0:identifierURI "http://hdl.handle.net/2429/72225"@en .