Polarized varieties and their applications
Dates: 30 June - 11 July 2025

Venue: Keller 302, Department of Mathematics, University of Hawaii

Organizers: Vanya, Elizabeth, Julius

Participants:
  1. Livia Campo (Vienna, Austria)
  2. Vanya Cheltsov (Edinburgh, Scotland)
  3. Ronan Conlon (Dallas, Texas)
  4. Ruadhai Dervan (Glasgow, Scotland)
  5. Kristin DeVleming (San Diego, California)
  6. Louis Esser (Princeton, New Jersey)
  7. Tiago Duarte Guerreiro (Basel, Switzerland)
  8. Elizabeth Gross (Honolulu, Hawaii)
  9. Lena Ji (Urbana, Illinois)
  10. Ruxandra Moraru (Waterloo, Canada)
  11. Theo Papazachariou (Beijing, China)
  12. Jihun Park (Pohang, Korea)
  13. Julius Ross (Chicago, Illinois)
  14. Cristiano Spotti (Aarhus, Denmark)
  15. Yueqiao Wu (Baltimore, Maryland)
  16. Zhijia Zhang (New York, New York)
  17. Junyan Zhao (College Park, Maryland)

Day Time Speaker Title
30 June 2025 10:00-10:50 Julius Ross A generalized Bogomolov inequality
11:10-12:00 Kristin DeVleming Wall crossing in K-moduli and related questions
14:00-14:50 Ronan Conlon On finite-time singularities of the Ricci flow on compact Kahler surfaces
15:10-16:00 Zhijia Zhang Equivariant birational geometry of Fano threefolds
16:10-17:00 Open problems session
1 July 2025 10:00-10:50 Livia Campo K-stability of Fano 3-fold hypersurfaces and related problems
11:10-12:00 Theo Papazachariou Some explicit K-moduli spaces for Fano threefolds
14:00-14:50 Ruadhai Dervan Arcs and K-stability of polarised varieties
15:10-16:00 Junyan Zhao Perspectives on moduli of (log) CY fibration
16:10-17:00 Open problems session
2 July 2025 10:00-10:50 Jihun Park Fano 3-fold hypersurfaces
11:10-12:00 Yueqiao Wu Valuations at infinity
14:00-14:50 Tiago Duarte Guerreiro Hypersurfaces in projective bundles
15:10-16:00 Lena Ji Specializing birational automorphisms in families
16:10-17:00 Open problems session
3 July 2025 10:00-10:50 Cristiano Spotti K-stable varieties from a multiscale viewpoint
11:10-12:00 Ruxandra Moraru New examples of compact holomorphic symplectic manifolds
14:00-14:50 Louis Esser Cohomology of weighted surfaces
15:10-16:00 Vanya Cheltsov Totally unstable rational surfaces
16:10-17:00 Open problems session
7 July 2025 10:00-12:00 Forming working groups
14:00-17:00 Collaboration
8 July 2025 Working in research groups
9 July 2025 10:00-12:00 Progress reports
14:00-17:00 Brainstorming
10 July 2025 Working in research groups
11 July 2025 10:00-12:00 Progress reports
14:00-17:00 Summarizing results and open problems