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СпутникиРНSpaceXРоскосмосNASAPlease note this event has an irregular time/locationSpeaker: Katrina HonigsSpeaker Affiliation: SFUSpeaker Link: HomepageOctober 27, 2026PIMS/ESB 4133
CanadaView All EventsAbstract: Although there is an explicit isomorphism that relates the Hilbert scheme of points on an abelian surface to compactified Jacobians of curves in a linear system on the dual abelian surface, computing its action directly is challenging. However, quadratic forms can be used to determine some concrete information about symmetric elements of these moduli spaces. As an application, we prove a novel result: there exist abelian surfaces containing curves with singularities of arbitrarily high multiplicity. This work is joint with Graham McDonald and Peter McDonald.
Quadratic forms and linear systems on abelian surfacesEvent Topic:
Algebra and Algebraic geometry
Please note this event has an irregular time/location
Speaker:
Katrina Honigs
Speaker Affiliation:
SFU
Speaker Link:
October 27, 2026
PIMS/ESB 4133
Canada
Abstract:
Although there is an explicit isomorphism that relates the Hilbert scheme of points on an abelian surface to compactified Jacobians of curves in a linear system on the dual abelian surface, computing its action directly is challenging. However, quadratic forms can be used to determine some concrete information about symmetric elements of these moduli spaces. As an application, we prove a novel result: there exist abelian surfaces containing curves with singularities of arbitrarily high multiplicity. This work is joint with Graham McDonald and Peter McDonald.
Event Topic:
October 27, 2026
4:00pm to 5:00pm
PIMS/ESB 4133
, , CA
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