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Schedule, Notes/Handouts & Videos

New Perspectives on Discriminants and Applications (Leipzig, Germany) June 23, 2025 - July 04, 2025

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Jun 23, 2025
Monday
09:00 AM - 10:15 AM
  Algebraic varieties and elimination
Eliana Duarte (Centro de Matemática da Universidade do Porto)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
02:00 PM - 02:15 PM
  First examples of discriminants
Simon Telen (Max-Planck-Institut)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Session
Jun 24, 2025
Tuesday
09:00 AM - 10:15 AM
  Introduction to toric varieties, part I
Serkan Hosten (San Francisco State University)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Introduction to toric varieties, part II
Eliana Duarte (Centro de Matemática da Universidade do Porto)
03:15 PM - 03:15 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Session
Jun 25, 2025
Wednesday
09:00 AM - 10:15 AM
  Introduction to algebraic statistics
Serkan Hosten (San Francisco State University)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Discriminants à la Gelfand-Kapranov-Zelevinsky (GKZ)
Eliana Duarte (Centro de Matemática da Universidade do Porto)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Session
Jun 26, 2025
Thursday
09:00 AM - 10:15 AM
  Positive toric varieties and the moment map
Simon Telen (Max-Planck-Institut)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Algebraic varieties with ML degree one
Eliana Duarte (Centro de Matemática da Universidade do Porto)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Session
Jun 27, 2025
Friday
09:00 AM - 10:15 AM
  GKZ systems and Euler integrals
Simon Telen (Max-Planck-Institut)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  A mathematician's view on CHY amplitudes
Simon Telen (Max-Planck-Institut)
03:15 PM - 05:00 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Session
Jun 30, 2025
Monday
09:00 AM - 10:15 AM
  Maximum likelihood degree
Serkan Hosten (San Francisco State University)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Lunch
02:00 PM - 03:15 PM
  Likelihood geometry of toric varieties
Serkan Hosten (San Francisco State University)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Sessions
Jul 01, 2025
Tuesday
09:00 AM - 10:15 AM
  Amplitudes of toric varieties: an introduction to positive geometry and adjoints
Simon Telen (Max-Planck-Institut)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Horn parametrization of statistical models
Eliana Duarte (Centro de Matemática da Universidade do Porto)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Exercise Session
Jul 02, 2025
Wednesday
09:00 AM - 10:15 AM
  Variation of the ML degree and principal A-determinant
Serkan Hosten (San Francisco State University)
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Discriminants as singular loci of Euler integrals
Simon Telen (Max-Planck-Institut)
03:15 PM - 03:45 PM
  Afternoon Tea
03:15 PM - 05:00 PM
  Exercise Session
Jul 03, 2025
Thursday
09:00 AM - 10:15 AM
  Geometric modeling meets algebraic statistics
Eliana Duarte (Centro de Matemática da Universidade do Porto)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Exercise Session
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Euler stratification of toric varieties
Serkan Hosten (San Francisco State University)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Presentations
Jul 04, 2025
Friday
09:00 AM - 10:15 AM
  Landau discriminants for Feynman integrals
Simon Telen (Max-Planck-Institut)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Presentations
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Toric varieties with ML degree one
Eliana Duarte (Centro de Matemática da Universidade do Porto)
03:15 PM - 03:45 PM
  Afternoon Tea
03:45 PM - 05:00 PM
  Presentations
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