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SUMMARY:Carolina Araujo (IMPA)
DTSTART:20210924T200000Z
DTEND:20210924T210000Z
DTSTAMP:20260422T173452Z
UID:VCUcolloq/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCUcolloq/3/
 ">Symmetries in Algebraic Geometry</a>\nby Carolina Araujo (IMPA) as part 
 of VCU Mathematics and Applied Mathematics Colloquium Series\n\n\nAbstract
 \nIn this talk I will discuss different notions of symmetry of algebraic v
 arieties. First we examine automorphisms. The structure of the group of au
 tomorphisms of a projective variety encodes some relevant geometric proper
 ties. However\, the notion of automorphism is too rigid in the scope of bi
 rational geometry. We are then led to consider another class of symmetries
  of projective varieties\, its birational self-maps. Birational self-maps 
 of the projective space $\\mathbb{P}^n$ are called Cremona transformations
 . Describing the structure of the group of Cremona transformations of the 
 plane is a classical problem that goes back to the 19th century. In higher
  dimensions\, not so much is known\, and a natural problem is to construct
  interesting subgroups of the Cremona group. I will end the talk by discus
 sing a recent work with Alessio Corti and Alex Massarenti\, where we inves
 tigate subgroups of the Cremona group consisting of symmetries preserving 
 special geometric structures.\n
LOCATION:https://researchseminars.org/talk/VCUcolloq/3/
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