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Schedule, Notes/Handouts & Videos

Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019

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May 06, 2019
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Moduli of varieties of general type
János Kollár (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Hilbert polynomials, stability conditions on derived categories, moduli and birational geometry
Aaron Bertram (University of Utah)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Local systems on M_2 and the top weight cohomology of M_{2,n}
Orsola Tommasi (Università di Padova)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Quadric rank loci on moduli spaces of curves and K3 surfaces
Gavril Farkas (Humboldt-Universität)
May 07, 2019
Tuesday
09:30 AM - 10:30 AM
  Resolution in characteristic 0 using weighted blowing up
Dan Abramovich (Brown University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Positivity of the Chow-Mumford line bundle for families of K-stable Q-Fano varieties
Zsolt Patakfalvi (École Polytechnique Fédérale de Lausanne (EPFL))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Exceptional collections on moduli spaces of stable rational curves
Ana-Maria Castravet (Université Versailles/Saint Quentin-en-Yvelines)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The Chow ring of the stack of stable curves of genus 2
Angelo Vistoli (Scuola Normale Superiore)
04:30 PM - 06:20 PM
  Reception
May 08, 2019
Wednesday
09:30 AM - 10:30 AM
  Degenerations of K3 surfaces and 24 points on the sphere
Valery Alexeev (University of Georgia)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Perfect curves on elliptic K3 surfaces
Max Lieblich (University of Washington)
May 09, 2019
Thursday
09:30 AM - 10:30 AM
  Rationality of geometrically rational threefolds
Brendan Hassett (Brown University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Finiteness properties of hyperbolic varieties
Ariyan Javanpeykar (Johannes Gutenberg-Universität Mainz)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Tropicalizing the moduli space of stable spin curves and applications
Margarida Melo (Terza Università di Roma)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Motive of Quot^n(E) for E a bundle on a smooth projective curve
Barbara Fantechi (International School for Advanced Studies (SISSA/ISAS))
May 10, 2019
Friday
09:30 AM - 10:30 AM
  Tropical moduli spaces and the cohomology of M_{g,n}
Melody Chan (Brown University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Kloosterman crystals for reductive groups
Xinwen Zhu (California Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Integral points on elliptic curves
Wei Ho (University of Michigan)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Compactifying moduli of line bundles on curves
Joseph Harris (Harvard University)