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DTSTART:19810329T030000
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UID:DSC-22435
DTSTART;TZID=Europe/Berlin:20251113T150000
SEQUENCE:1763015729
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20251113T154500
URL:https://www.dresden-science-calendar.de/calendar/en/detail/22435
LOCATION:MPI-CBG\, Pfotenhauerstraße 10801307 Dresden
SUMMARY:Bouchet: An invariant theoretic approach to algebraic curves
CLASS:PUBLIC
DESCRIPTION:Speaker: Thomas Bouchet\nInstitute of Speaker: MPI-CBG\nTopics:
 \n\n Location:\n  Name: MPI-CBG (MPI-CBG CSBD SR Ground Floor (VC))\n  Str
 eet: Pfotenhauerstraße 108\n  City: 01307 Dresden\n  Phone: +49 351 210-0
 \n  Fax: +49 351 210-2000\nDescription: In this talk\, I will present key 
 tools from invariant theory and show how they can be used for explicit com
 putations with algebraic curves. I will begin by introducing invariants th
 at classify curves of a given genus up to geometric isomorphism. Beyond pr
 oviding explicit equations for moduli spaces of curves\, these invariants 
 play a major role in constructing explicit examples of curves. Then\, I wi
 ll introduce the notion of covariants\, and explain how one can reconstruc
 t a curve/hypersurface from its invariants. I will illustrate this process
  through examples of curves with “interesting properties” obtained in 
 this way. Finally\, I will show how covariants can provide an efficient wa
 y to compute linear changes of variables between homogeneous polynomials\,
  largely outperforming existing implementations.
DTSTAMP:20260818T100112Z
CREATED:20251104T063730Z
LAST-MODIFIED:20251113T063529Z
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