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Workshop

Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019
Registration Deadline: May 10, 2019 about 5 years ago
To apply for Funding you must register by: January 23, 2019 over 5 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Lucia Caporaso (Terza Università di Roma), LEAD Sándor Kovács (University of Washington), Martin Olsson (University of California, Berkeley)
Speaker(s)

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Description
Moduli b
This workshop will be focused on presenting the latest developments in moduli theory, including (but not restricted to) recent advances in compactifications of moduli spaces of higher dimensional varieties, the birational geometry of moduli spaces, abstract methods including stacks, stability criteria, and applications in other disciplines.   
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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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 (Institute for Advanced Study)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Compactifying moduli of line bundles on curves
Joseph Harris (Harvard University)