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URL;TYPE=URI:https://wpiedudev.wpi.edu/news/calendar/events/department-math
 ematical-sciences-discrete-math-seminar-brigitte-servatius-wpi
SUMMARY:Department of Mathematical Sciences Discrete Math Seminar: Brigitte
  Servatius, WPI
DESCRIPTION:\n\n\n      \n\n\n\nDepartment of Mathematical Sciences\nDiscre
 te Math Seminar\nTuesday, September 2nd, 2025\nOlin Hall 126, 4:00PM- 4:50
  PM\nSpeaker: Brigitte Servatius, WPI\nTitle: Infinitesimal Projective Tra
 nsformations\nAbstract: We are considering a projective plane configuratio
 n of points, $P_1 = (x_1,y_1)$, $P_2$ \ldots and lines $L_1 = (a_1,b_1)$, 
 $L_1$ \ldots, with a point/line incidence recorded by $P_n \cdot L_m = -1$
 .\nThe derivative of the constraint system is an $|I|\times 2(|P|+|L|)$ ma
 trix with columns indexed by the two projective coordinates of the points,
  followed by those of the lines; and whose rows correspond to incidences, 
 with the $n$’th point with the $m$’th line incidence giving a row $$ \left
  [ 0, 0, \ldots, a_m, b_m \ldots, 0, 0; 0, 0, \ldots, x_n, y_n, \ldots, 0,
  0 \right]$$ and we want to describe the 8 dimensional space of trivial pr
 ojective motions with respect to this matrix.\n
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