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SUMMARY:Maria Angelica Cueto (Ohio State University)
DTSTART:20230707T233000Z
DTEND:20230708T013000Z
DTSTAMP:20260627T143220Z
UID:PRiME2020/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PRiME2020/36
 /">Lines and Curves in the Tropics</a>\nby Maria Angelica Cueto (Ohio Stat
 e University) as part of PRiME: Pomona Research in Mathematics Experience\
 n\nLecture held in Room 1051 (Argue Auditorium) in Estella Laboratory.\n\n
 Abstract\nTropical Geometry has been the subject of a great amount of rece
 nt activity over the last decade. Loosely speaking\, it can be described a
 s a piecewise-linear version of algebraic geometry. It is based on tropica
 l algebra\, where the sum of two numbers is their maximum and the product 
 is their sum. This turns polynomials into piecewise-linear functions\, and
  their zero sets into polyhedral complexes. These tropical varieties retai
 n a surprising amount of geometric information about their classical count
 erparts. In particular\, tropical curves become metric graphs and lines yi
 eld metric trees.\n\nIn this talk\, I will give a gentle introduction to t
 he subject and will illustrate this powerful technique through a concrete 
 example from classical algebraic geometry: the 28 bitangent lines to smoot
 h plane quartics. This is based on joint work with Hannah Markwig.\n
LOCATION:https://researchseminars.org/talk/PRiME2020/36/
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